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131344354012221 = 3273350362228189
BaseRepresentation
bin11101110111010011111101…
…100100000110110000111101
3122020001101201212021000102100
4131313103331210012300331
5114203421214111342341
61143202432510015313
736444213351235140
oct3567237544066075
9566041655230370
10131344354012221
1138939911777269
12128934ba4a7539
1358399477b2a6c
14246115a29c057
15102b87c3583b6
hex7774fd906c3d

131344354012221 has 24 divisors (see below), whose sum is σ = 216828900887040. Its totient is φ = 75051675157536.

The previous prime is 131344354012217. The next prime is 131344354012229. The reversal of 131344354012221 is 122210453443131.

131344354012221 is a `hidden beast` number, since 1 + 3 + 1 + 34 + 43 + 540 + 1 + 22 + 21 = 666.

It is not a de Polignac number, because 131344354012221 - 22 = 131344354012217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131344354012229) 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, 29003406 + ... + 33224783.

It is an arithmetic number, because the mean of its divisors is an integer number (9034537536960).

Almost surely, 2131344354012221 is an apocalyptic number.

It is an amenable number.

131344354012221 is a deficient number, since it is larger than the sum of its proper divisors (85484546874819).

131344354012221 is a wasteful number, since it uses less digits than its factorization.

131344354012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62261705 (or 62261702 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 131344354012221 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred fifty-four million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 33503 100509 234521 301527 703563 2110689 62228189 186684567 435597323 560053701 1306791969 3920375907 2084831016067 6254493048201 14593817112469 18763479144603 43781451337407 131344354012221