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131024004032196 = 223211559335915447
BaseRepresentation
bin11101110010101001100111…
…001101111010011011000100
3122011220202212010020220002100
4131302221213031322123010
5114133144130013012241
61142355332502112100
736412112651313612
oct3562514715723304
9564822763226070
10131024004032196
1138825a7153a860
12128413b5a1b630
13581568392c472
14244d84a5b06b2
15102337d34a9b6
hex772a6737a6c4

131024004032196 has 72 divisors (see below), whose sum is σ = 361315137927744. Its totient is φ = 39703527080640.

The previous prime is 131024004032171. The next prime is 131024004032213. The reversal of 131024004032196 is 691230400420131.

131024004032196 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 240 + 0 + 4 + 0 + 321 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131024004032196.

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, 19191745 + ... + 25107191.

It is an arithmetic number, because the mean of its divisors is an integer number (5018265804552).

Almost surely, 2131024004032196 is an apocalyptic number.

It is an amenable number.

131024004032196 is an abundant number, since it is smaller than the sum of its proper divisors (230291133895548).

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

131024004032196 is a wasteful number, since it uses less digits than its factorization.

131024004032196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971401 (or 5971396 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 131024004032196 in words is "one hundred thirty-one trillion, twenty-four billion, four million, thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 55933 111866 167799 223732 335598 503397 615263 671196 1006794 1230526 1845789 2013588 2461052 3691578 5537367 5915447 7383156 11074734 11830894 17746341 22149468 23661788 35492682 53239023 65069917 70985364 106478046 130139834 195209751 212956092 260279668 390419502 585629253 780839004 1171258506 2342517012 330868697051 661737394102 992606091153 1323474788204 1985212182306 2977818273459 3639555667561 3970424364612 5955636546918 7279111335122 10918667002683 11911273093836 14558222670244 21837334005366 32756001008049 43674668010732 65512002016098 131024004032196