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131404257 = 3231215193
BaseRepresentation
bin1111101010100…
…01000111100001
3100011021000202100
413311101013201
5232114414012
621012241013
73153626535
oct765210741
9304230670
10131404257
11681a0a66
1238010169
13212ba9ca
1413647bc5
15b8098dc
hex7d511e1

131404257 has 18 divisors (see below), whose sum is σ = 196139346. Its totient is φ = 84771360.

The previous prime is 131404253. The next prime is 131404283. The reversal of 131404257 is 752404131.

131404257 is a `hidden beast` number, since 1 + 3 + 1 + 404 + 257 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130850721 + 553536 = 11439^2 + 744^2 .

It is not a de Polignac number, because 131404257 - 22 = 131404253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131404257.

It is not an unprimeable number, because it can be changed into a prime (131404253) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1053 + ... + 16245.

Almost surely, 2131404257 is an apocalyptic number.

It is an amenable number.

131404257 is a deficient number, since it is larger than the sum of its proper divisors (64735089).

131404257 is a wasteful number, since it uses less digits than its factorization.

131404257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15261 (or 15227 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 131404257 is about 11463.1695878583. The cubic root of 131404257 is about 508.3971941150.

Adding to 131404257 its reverse (752404131), we get a palindrome (883808388).

The spelling of 131404257 in words is "one hundred thirty-one million, four hundred four thousand, two hundred fifty-seven".

Divisors: 1 3 9 31 93 279 961 2883 8649 15193 45579 136737 470983 1412949 4238847 14600473 43801419 131404257