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131010251663412 = 223211437693813229
BaseRepresentation
bin11101110010011100110011…
…100000110010100000110100
3122011212110100200202011200100
4131302130303200302200310
5114132432443411212122
61142345140113114100
736411115111153152
oct3562346340624064
9564773320664610
10131010251663412
11388201546a7620
121283a7b8258930
1358142a1713a44
14244cd03d583d2
151022d25d2eaac
hex772733832834

131010251663412 has 72 divisors (see below), whose sum is σ = 369672338075040. Its totient is φ = 38776818669120.

The previous prime is 131010251663381. The next prime is 131010251663429. The reversal of 131010251663412 is 214366152010131.

131010251663412 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 0 + 2 + 5 + 1 + 6 + 634 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3846889587 + ... + 3846923642.

It is an arithmetic number, because the mean of its divisors is an integer number (5134338028820).

Almost surely, 2131010251663412 is an apocalyptic number.

131010251663412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131010251663412 is an abundant number, since it is smaller than the sum of its proper divisors (238662086411628).

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

131010251663412 is a wasteful number, since it uses less digits than its factorization.

131010251663412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693813293 (or 7693813288 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 131010251663412 in words is "one hundred thirty-one trillion, ten billion, two hundred fifty-one million, six hundred sixty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 8514 17028 7693813229 15387626458 23081439687 30775252916 46162879374 69244319061 84631945519 92325758748 138488638122 169263891038 253895836557 276977276244 330833968847 338527782076 507791673114 661667937694 761687509671 992501906541 1015583346228 1323335875388 1523375019342 1985003813082 2977505719623 3046750038684 3639173657317 3970007626164 5955011439246 7278347314634 10917520971951 11910022878492 14556694629268 21835041943902 32752562915853 43670083887804 65505125831706 131010251663412