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131045257 = 722674393
BaseRepresentation
bin1111100111110…
…01011110001001
3100010120210022001
413303321132021
5232021422012
621000431001
73150603100
oct763713611
9303523261
10131045257
1167a76272
1237a78461
13211c3495
1413593037
15b788357
hex7cf9789

131045257 has 6 divisors (see below), whose sum is σ = 152440458. Its totient is φ = 112324464.

The previous prime is 131045221. The next prime is 131045303. The reversal of 131045257 is 752540131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 31125241 = 9996^2 + 5579^2 .

It is a de Polignac number, because none of the positive numbers 2k-131045257 is a prime.

It is the 11448-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131045357) by changing a digit.

It is a nontrivial repunit in base 11447.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1337148 + ... + 1337245.

It is an arithmetic number, because the mean of its divisors is an integer number (25406743).

Almost surely, 2131045257 is an apocalyptic number.

It is an amenable number.

131045257 is a deficient number, since it is larger than the sum of its proper divisors (21395201).

131045257 is an equidigital number, since it uses as much as digits as its factorization.

131045257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674407 (or 2674400 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 131045257 is about 11447.5000327582. The cubic root of 131045257 is about 507.9337868627.

Adding to 131045257 its reverse (752540131), we get a palindrome (883585388).

The spelling of 131045257 in words is "one hundred thirty-one million, forty-five thousand, two hundred fifty-seven".

Divisors: 1 7 49 2674393 18720751 131045257