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131345351522244 = 22335054324061901
BaseRepresentation
bin11101110111010100111001…
…000001010011011111000100
3122020001111022101020202221000
4131313110321001103133010
5114203430234442202434
61143203115502053300
736444250153025466
oct3567247101233704
9566044271222830
10131345351522244
113893a28384a312
121289373857a230
135839a7635a792
14246121295c136
15102b8d9be6b99
hex7775390537c4

131345351522244 has 48 divisors (see below), whose sum is σ = 340531736912640. Its totient is φ = 43780915792800.

The previous prime is 131345351522227. The next prime is 131345351522257. The reversal of 131345351522244 is 442225153543131.

131345351522244 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 5 + 351 + 52 + 2 + 244 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 131345351522244.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6572307 + ... + 17489594.

It is an arithmetic number, because the mean of its divisors is an integer number (7094411185680).

Almost surely, 2131345351522244 is an apocalyptic number.

It is an amenable number.

131345351522244 is an abundant number, since it is smaller than the sum of its proper divisors (209186385390396).

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

131345351522244 is a wasteful number, since it uses less digits than its factorization.

131345351522244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24112457 (or 24112449 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 131345351522244 in words is "one hundred thirty-one trillion, three hundred forty-five billion, three hundred fifty-one million, five hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 50543 101086 151629 202172 303258 454887 606516 909774 1364661 1819548 2729322 5458644 24061901 48123802 72185703 96247604 144371406 216557109 288742812 433114218 649671327 866228436 1299342654 2598685308 1216160662243 2432321324486 3648481986729 4864642648972 7296963973458 10945445960187 14593927946916 21890891920374 32836337880561 43781783840748 65672675761122 131345351522244