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131424330321297 = 32131123284874541
BaseRepresentation
bin11101111000011110011100…
…100001100000110110010001
3122020100001011112210110120200
4131320132130201200312101
5114211224012030240142
61143303300455525413
736453044264526036
oct3570363441406621
9566301145713520
10131424330321297
113896a822271a72
12128a6aba389869
135844351a41480
142464d85c2b38d
15102d9ad6e764c
hex77879c860d91

131424330321297 has 12 divisors (see below), whose sum is σ = 204437847166644. Its totient is φ = 80876510966880.

The previous prime is 131424330321293. The next prime is 131424330321419. The reversal of 131424330321297 is 792123033424131.

131424330321297 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 4 + 3 + 30 + 321 + 297 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44539486311681 + 86884844009616 = 6673791^2 + 9321204^2 .

It is not a de Polignac number, because 131424330321297 - 22 = 131424330321293 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131424330321293) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 561642437154 + ... + 561642437387.

It is an arithmetic number, because the mean of its divisors is an integer number (17036487263887).

Almost surely, 2131424330321297 is an apocalyptic number.

It is an amenable number.

131424330321297 is a deficient number, since it is larger than the sum of its proper divisors (73013516845347).

131424330321297 is a wasteful number, since it uses less digits than its factorization.

131424330321297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123284874560 (or 1123284874557 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 131424330321297 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, three hundred thirty million, three hundred twenty-one thousand, two hundred ninety-seven".

Divisors: 1 3 9 13 39 117 1123284874541 3369854623623 10109563870869 14602703369033 43808110107099 131424330321297