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312113558160252 = 2232312235491251053
BaseRepresentation
bin100011011110111011001100…
…1110000111000001101111100
31111221002202122111201221021200
41012331312121300320031330
5311402132031342112002
63023450553355455500
7122512313634105102
oct10675663160701574
91457082574657250
10312113558160252
11904a3686885942
122b009847157590
131052024a512664
14571053bdb5c72
152613bcae21b1c
hex11bdd99c3837c

312113558160252 has 72 divisors (see below), whose sum is σ = 814408130390400. Its totient is φ = 100681262098560.

The previous prime is 312113558160227. The next prime is 312113558160253. The reversal of 312113558160252 is 252061855311213.

312113558160252 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 1 + 3 + 5 + 581 + 60 + 2 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312113558160198 and 312113558160207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113558160253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248855158 + ... + 250106210.

It is an arithmetic number, because the mean of its divisors is an integer number (11311224033200).

Almost surely, 2312113558160252 is an apocalyptic number.

It is an amenable number.

312113558160252 is an abundant number, since it is smaller than the sum of its proper divisors (502294572230148).

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

312113558160252 is a wasteful number, since it uses less digits than its factorization.

312113558160252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474643 (or 1474638 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 312113558160252 in words is "three hundred twelve trillion, one hundred thirteen billion, five hundred fifty-eight million, one hundred sixty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 223549 447098 670647 894196 1251053 1341294 2011941 2502106 2682588 3753159 4023882 5004212 6930019 7506318 8047764 11259477 13860038 15012636 20790057 22518954 27720076 38782643 41580114 45037908 62370171 77565286 83160228 116347929 124740342 155130572 232695858 249480684 349043787 465391716 698087574 1396175148 279671647097 559343294194 839014941291 1118686588388 1678029882582 2517044823873 3356059765164 5034089647746 8669821060007 10068179295492 17339642120014 26009463180021 34679284240028 52018926360042 78028389540063 104037852720084 156056779080126 312113558160252