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100232114212432 = 241093071381135559
BaseRepresentation
bin10110110010100100011011…
…100100000000111001010000
3111010220002121101011020101101
4112302210123210000321100
5101114200332214244212
6553101555251514144
730053350141324606
oct2662443344007120
9433802541136341
10100232114212432
1129a34223477504
12b2a97a42b8954
1343c0b03853087
141aa7390047876
15b8c402291157
hex5b291b900e50

100232114212432 has 80 divisors (see below), whose sum is σ = 196763572297600. Its totient is φ = 49458325455360.

The previous prime is 100232114212411. The next prime is 100232114212457. The reversal of 100232114212432 is 234212411232001.

It is a super-4 number, since 4×1002321142124324 (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100232114212432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739330669 + ... + 739466227.

It is an arithmetic number, because the mean of its divisors is an integer number (2459544653720).

Almost surely, 2100232114212432 is an apocalyptic number.

It is an amenable number.

100232114212432 is a deficient number, since it is larger than the sum of its proper divisors (96531458085168).

100232114212432 is a wasteful number, since it uses less digits than its factorization.

100232114212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137364 (or 137358 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 100232114212432 its reverse (234212411232001), we get a palindrome (334444525444433).

The spelling of 100232114212432 in words is "one hundred trillion, two hundred thirty-two billion, one hundred fourteen million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 109 218 307 436 614 872 1228 1381 1744 2456 2762 4912 5524 11048 22096 33463 66926 133852 135559 150529 267704 271118 301058 423967 535408 542236 602116 847934 1084472 1204232 1695868 2168944 2408464 3391736 6783472 14775931 29551862 41616613 46212403 59103724 83233226 92424806 118207448 166466452 184849612 187206979 236414896 332932904 369699224 374413958 665865808 739398448 748827916 1497655832 2995311664 4536210817 9072421634 18144843268 20405560711 36289686536 40811121422 57472542553 72579373072 81622242844 114945085106 163244485688 229890170212 326488971376 459780340424 919560680848 6264507138277 12529014276554 25058028553108 50116057106216 100232114212432