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131021222400204 = 223145942011781363
BaseRepresentation
bin11101110010100111000001…
…011010110101000011001100
3122011220111200021010100100020
4131302213001122311003030
5114133122430413301304
61142354152454102140
736411654013656423
oct3562470132650314
9564814607110306
10131021222400204
1138824874368544
121284095a34a950
13581532c563886
14244d664dac2ba
15102326903d5d9
hex7729c16b50cc

131021222400204 has 48 divisors (see below), whose sum is σ = 305998717664640. Its totient is φ = 43633393372800.

The previous prime is 131021222400181. The next prime is 131021222400283. The reversal of 131021222400204 is 402004222120131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72660427 + ... + 74441789.

It is an arithmetic number, because the mean of its divisors is an integer number (6374973284680).

Almost surely, 2131021222400204 is an apocalyptic number.

It is an amenable number.

131021222400204 is an abundant number, since it is smaller than the sum of its proper divisors (174977495264436).

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

131021222400204 is a wasteful number, since it uses less digits than its factorization.

131021222400204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787030 (or 1787028 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131021222400204 its reverse (402004222120131), we get a palindrome (533025444520335).

The spelling of 131021222400204 in words is "one hundred thirty-one trillion, twenty-one billion, two hundred twenty-two million, four hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 12 1459 2918 4201 4377 5836 8402 8754 12603 16804 17508 25206 50412 1781363 3562726 5344089 6129259 7125452 10688178 12258518 18387777 21376356 24517036 36775554 73551108 2599008617 5198017234 7483505963 7797025851 10396034468 14967011926 15594051702 22450517889 29934023852 31188103404 44901035778 89802071556 10918435200017 21836870400034 32755305600051 43673740800068 65510611200102 131021222400204