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100,000,000,000

From Wikipedia, the free encyclopedia
Natural number
100000000000
CardinalOne hundred billion
OrdinalOne hundred billionth (short scale)
Factorization
  • 211
  • 511
Greek numeralMα{\displaystyle {\stackrel {\alpha }{\mathrm {M} }}}
Roman numeralX
Binary10111010010000111011011101000000000002
Ternary1001200100111221000202013
Senary1135345230145446
Octal13510355640008
Duodecimal1746996A45412
Hexadecimal174876E80016

100,000,000,000 (one hundred billion) is the natural number following 99,999,999,999 and preceding 100,000,000,001.

Inscientific notation, it is written as 1011.

Selected 12-digit numbers (100,000,000,001–999,999,999,999)

[edit]

100,000,000,001 to 199,999,999,999

[edit]
  • 100,000,000,003 = smallest 12-digitprime number.[1]
  • 100,000,147,984 = 3162282, the smallest 12-digit square.
  • 100,000,404,505 = smallesttriangular number with 12 digits and the 447,214th triangular number
  • 102,280,151,422 = number of 43-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[2]
  • 107,578,520,350 = 30thPell number.[3]
  • 109,972,410,221 = number of trees with 32 unlabeled nodes[4]
  • 110,075,314,176 = 3317762 = 5764 = 248
  • 111,111,111,111 =repunit
  • 118,587,876,497 = 49133 = 179
  • 127,004,500,762 = number of parallelogram polyominoes with 32 cells.[5]
  • 128,367,472,469 =Markov prime
  • 134,474,581,374 = number of secondary structures of RNA molecules with 32 nucleotides[6]
  • 137,438,691,328 = 7thperfect number.[7]
  • 137,438,953,472 = 237
  • 137,858,491,849 = 3712932 = 1695 = 1310
  • 139,355,139,206 = number of signed trees with 20 nodes[8]
  • 139,583,862,445 = 55thFibonacci number.
  • 143,367,113,573 = Markov prime
  • 145,540,468,640 = number of series-reduced planted trees with 42 nodes[9]
  • 152,587,890,625 = 3906252 = 6254 = 258 = 516
  • 168,047,007,728 = number of free 23-ominoes
  • 172,765,826,641 = Markov prime
  • 186,492,227,801 =self-descriptive number in base 11
  • 195,470,831,356 = number of 45-bead necklaces (turning over is allowed) where complements are equivalent[10]
  • 198,359,290,368 = 58323 = 189
  • 198,585,576,189 = only knownDescartes number
  • 199,911,300,472 = number of 44-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[2]

200,000,000,000 to 299,999,999,999

[edit]
  • 200,560,490,130 = eleventhprimorial
  • 208,023,278,209 = 28thMotzkin number.[11]
  • 222,222,222,222 =repdigit
  • 225,851,433,717 = 56th Fibonacci number.
  • 247,489,226,192 = number of centered hydrocarbons with 35 carbon atoms[12]
  • 252,097,800,623 = 10,000,000,000th prime number
  • 255,323,504,932 = logarithmic number.[13]
  • 259,717,522,849 = 31st Pell number.[3]
  • 274,877,906,944 = 5242882 = 419 = 238
  • 277,945,762,500 = 22×33×55×77[14]
  • 282,429,536,481 = 5314412 = 65613 = 7294 = 816 = 278 = 912 = 324
  • 285,311,670,611 = 1111
  • 289,254,654,976 = 5378242 = 1965 = 1410
  • 293,270,987,832 = number of parallelogram polyominoes with 33 cells.[5]

300,000,000,000 to 399,999,999,999

[edit]
  • 300,628,862,480 = number of trees with 33 unlabeled nodes[4]
  • 307,272,063,019 = number of series-reduced planted trees with 43 nodes[9]
  • 308,457,624,821 = number of prime numbers having thirteen digits[15]
  • 311,809,494,089 = Markov prime
  • 316,234,143,225 = double factorial of 23
  • 321,253,732,800 =superior highly composite number[16]
  • 322,687,697,779 = 68593 = 199
  • 333,333,333,333 = repdigit made of3s
  • 336,908,488,839 = number of secondary structures of RNA molecules with 33 nucleotides[6]
  • 343,059,613,650 =Catalan number[17]
  • 346,065,536,839 = number of primes under 1013
  • 365,435,296,162 = 57th Fibonacci number.
  • 382,443,112,538 = number of 46-bead necklaces (turning over is allowed) where complements are equivalent[10]
  • 390,937,468,408 = number of 45-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[2]

400,000,000,000 to 499,999,999,999

[edit]
  • 444,444,444,444 = repdigit
  • 470,184,984,576 = 77763 = 2165 = 615

500,000,000,000 to 599,999,999,999

[edit]
  • 500,000,500,000 = sum of first 1,000,000 integers
  • 512,000,000,000 = 80003 = 209
  • 549,755,813,888 = 81923 = 813 = 239
  • 555,555,555,555 = repdigit
  • 576,650,390,625 = 7593752 = 2255 = 1510
  • 591,286,729,879 = 58th Fibonacci number.
  • 593,742,784,829 = 29th Motzkin number.[11]

600,000,000,000 to 699,999,999,999

[edit]
  • 608,981,813,029 = smallest number for which there are more primes up to the number of the form 3k + 1 than of the form 3k + 2.
  • 619,737,131,179 = largest number such that every pair of consecutive digits is a distinct prime.
  • 627,013,566,048 = 32nd Pell number.[3]
  • 649,164,795,179 = number of centered hydrocarbons with 36 carbon atoms[12]
  • 649,287,537,982 = number of series-reduced planted trees with 44 nodes[9]
  • 654,999,700,403 = number of free 24-ominoes
  • 666,666,666,666 = repdigit
  • 677,203,347,266 = number of parallelogram polyominoes with 34 cells.[5]
  • 678,223,072,849 = 8235432 = 497 = 714
  • 682,076,806,159 = 18thBell number.[18]
  • 695,808,554,300 = number of signed trees with 21 nodes[8]

700,000,000,000 to 799,999,999,999

[edit]
  • 743,008,370,688 = 1211
  • 748,607,855,769 = number of 47-bead necklaces (turning over is allowed) where complements are equivalent[10]
  • 762,939,453,125 = 517
  • 764,877,836,468 = number of 46-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[2]
  • 777,777,777,777 = repdigit

800,000,000,000 to 899,999,999,999

[edit]
  • 823,779,631,721 = number of trees with 34 unlabeled nodes[4]
  • 845,139,060,165 = number of secondary structures of RNA molecules with 34 nucleotides[6]
  • 847,288,609,443 = 2435 = 325
  • 888,888,888,888 = repdigit

900,000,000,000 to 999,999,999,999

[edit]
  • 918,212,890,625 = 1-automorphic number[19]
  • 956,722,026,041 = 59th Fibonacci number.
  • 999,999,999,989 = largest 12-digit prime number[20]
  • 999,999,999,999 = largest 12-digit number, repdigit

References

[edit]
  1. ^Sloane, N. J. A. (ed.)."Sequence A003617 (Smallest n-digit prime)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^abcdSloane, N. J. A. (ed.)."Sequence A000013 (Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^abcSloane, N. J. A. (ed.)."Sequence A000129 (Pell numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^abcSloane, N. J. A. (ed.)."Sequence A000055 (Number of trees with n unlabeled nodes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^abcSloane, N. J. A. (ed.)."Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^abcSloane, N. J. A. (ed.)."Sequence A004148 (Generalized Catalan numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ^Sloane, N. J. A. (ed.)."Sequence A000396 (Perfect numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. ^abSloane, N. J. A. (ed.)."Sequence A000060 (Number of signed trees with n nodes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  9. ^abcSloane, N. J. A. (ed.)."Sequence A001678 (Number of series-reduced planted trees with n nodes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  10. ^abcSloane, N. J. A. (ed.)."Sequence A000011 (Number of n-bead necklaces (turning over is allowed) where complements are equivalent)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  11. ^abSloane, N. J. A. (ed.)."Sequence A001006 (Motzkin numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  12. ^abSloane, N. J. A. (ed.)."Sequence A000022 (Number of centered hydrocarbons with n atoms)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  13. ^Sloane, N. J. A. (ed.)."Sequence A002104 (Logarithmic numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  14. ^Sloane, N. J. A. (ed.)."Sequence A048102 (Numbers k such that if k equals Product p_i^e_i then p_i equals e_i for all i)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  15. ^Sloane, N. J. A. (ed.)."Sequence A006879 (Number of primes with n digits.)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  16. ^Sloane, N. J. A. (ed.)."Sequence A002201 (Superior highly composite numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  17. ^Sloane, N. J. A. (ed.)."Sequence A000108 (Catalan numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  18. ^Sloane, N. J. A. (ed.)."Sequence A000110 (Bell or exponential numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  19. ^Sloane, N. J. A. (ed.)."Sequence A003226 (Automorphic numbers: m^2 ends with m.)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  20. ^Sloane, N. J. A. (ed.)."Sequence A003618 (Largest n-digit prime)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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