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131233257 = 3312134007
BaseRepresentation
bin1111101001001…
…11010111101001
3100010221100012000
413310213113221
5232043431012
621004441213
73152315151
oct764472751
9303840160
10131233257
1168094541
1237b49209
132125ac1c
1413601761
15b7c3ddc
hex7d275e9

131233257 has 16 divisors (see below), whose sum is σ = 194628480. Its totient is φ = 87394896.

The previous prime is 131233237. The next prime is 131233273. The reversal of 131233257 is 752332131.

It is a de Polignac number, because none of the positive numbers 2k-131233257 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 131233257.

It is not an unprimeable number, because it can be changed into a prime (131233237) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30748 + ... + 34754.

It is an arithmetic number, because the mean of its divisors is an integer number (12164280).

Almost surely, 2131233257 is an apocalyptic number.

It is an amenable number.

131233257 is a deficient number, since it is larger than the sum of its proper divisors (63395223).

131233257 is a wasteful number, since it uses less digits than its factorization.

131233257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5223 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 131233257 is about 11455.7084896570. The cubic root of 131233257 is about 508.1765679339.

Adding to 131233257 its reverse (752332131), we get a palindrome (883565388).

The spelling of 131233257 in words is "one hundred thirty-one million, two hundred thirty-three thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 1213 3639 4007 10917 12021 32751 36063 108189 4860491 14581473 43744419 131233257