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103012110201132 = 2232114716333338867
BaseRepresentation
bin10111011011000001100000…
…001111000111000100101100
3111111201212021002001202121200
4113123001200033013010230
5102000222300202414012
61003031035441525500
730461244056333226
oct2733014017070454
9444655232052550
10103012110201132
112a906210763240
12b67852b343890
1345630008b3422
141b61b54211416
15bd98ac2a13dc
hex5db0603c712c

103012110201132 has 144 divisors (see below), whose sum is σ = 290126224507392. Its totient is φ = 30549664506240.

The previous prime is 103012110201131. The next prime is 103012110201211. The reversal of 103012110201132 is 231102011210301.

103012110201132 is a `hidden beast` number, since 1 + 0 + 301 + 21 + 10 + 201 + 132 = 666.

It is a super-2 number, since 2×1030121102011322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103012110201131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303820363 + ... + 304159229.

It is an arithmetic number, because the mean of its divisors is an integer number (2014765447968).

Almost surely, 2103012110201132 is an apocalyptic number.

103012110201132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103012110201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145063112253696).

103012110201132 is an abundant number, since it is smaller than the sum of its proper divisors (187114114306260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103012110201132 is a wasteful number, since it uses less digits than its factorization.

103012110201132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355268 (or 355263 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103012110201132 its reverse (231102011210301), we get a palindrome (334114121411433).

The spelling of 103012110201132 in words is "one hundred three trillion, twelve billion, one hundred ten million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 6204 9306 16333 18612 32666 48999 65332 97998 146997 179663 195996 293994 338867 359326 538989 587988 677734 718652 767651 1016601 1077978 1355468 1535302 1616967 2033202 2155956 2302953 3049803 3070604 3233934 3727537 4066404 4605906 6099606 6467868 6908859 7455074 8444161 9211812 11182611 12199212 13817718 14910148 15926749 16888322 22365222 25332483 27635436 31853498 33547833 33776644 44730444 47780247 50664966 63706996 67095666 75997449 95560494 101329932 134191332 143340741 151994898 175194239 191120988 286681482 303989796 350388478 525582717 573362964 700776956 1051165434 1576748151 2102330868 3153496302 5534714711 6306992604 11069429422 16604144133 22138858844 33208288266 49812432399 60881861821 66416576532 99624864798 121763723642 182645585463 199249729596 243527447284 260131591417 365291170926 520263182834 547936756389 730582341852 780394774251 1040526365668 1095873512778 1560789548502 2191747025556 2341184322753 2861447505587 3121579097004 4682368645506 5722895011174 8584342516761 9364737291012 11445790022348 17168685033522 25753027550283 34337370067044 51506055100566 103012110201132