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131680703164417 = 11193126097790047
BaseRepresentation
bin11101111100001101001101…
…100010010011000000000001
3122021020112220121112021222121
4131330031031202103000001
5114224424040002230132
61144021140243404241
736510421402661251
oct3574151542230001
9567215817467877
10131680703164417
1138a59522033610
1212928729083681
13586258b1bc844
142473546b83961
1510354b5c46497
hex77c34d893001

131680703164417 has 32 divisors (see below), whose sum is σ = 156149954150400. Its totient is φ = 109708775827200.

The previous prime is 131680703164393. The next prime is 131680703164447. The reversal of 131680703164417 is 714461307086131.

It is not a de Polignac number, because 131680703164417 - 211 = 131680703162369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131680703164447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13008688 + ... + 20798734.

It is an arithmetic number, because the mean of its divisors is an integer number (4879686067200).

Almost surely, 2131680703164417 is an apocalyptic number.

It is an amenable number.

131680703164417 is a deficient number, since it is larger than the sum of its proper divisors (24469250985983).

131680703164417 is a wasteful number, since it uses less digits than its factorization.

131680703164417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7792717.

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 131680703164417 in words is "one hundred thirty-one trillion, six hundred eighty billion, seven hundred three million, one hundred sixty-four thousand, four hundred seventeen".

Divisors: 1 11 19 31 209 341 589 2609 6479 28699 49571 80879 545281 889669 1536701 7790047 16903711 85690517 148010893 241491457 1628119823 2656406027 4588337683 20324232623 50471714513 223566558853 386160419837 630051211313 4247764618207 6930563324443 11970973014947 131680703164417