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131252331 = 3721814933
BaseRepresentation
bin1111101001011…
…00000001101011
3100010222022100110
413310230001223
5232100033311
621005105403
73152424600
oct764540153
9303868313
10131252331
11680a7901
1237b58263
1321266802
14136086a7
15b7c98a6
hex7d2c06b

131252331 has 24 divisors (see below), whose sum is σ = 204741264. Its totient is φ = 74571840.

The previous prime is 131252311. The next prime is 131252353. The reversal of 131252331 is 133252131.

It is not a de Polignac number, because 131252331 - 27 = 131252203 is a prime.

It is a super-2 number, since 2×1312523312 = 34454348785867122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131252298 and 131252307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131252311) 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, 24141 + ... + 29073.

It is an arithmetic number, because the mean of its divisors is an integer number (8530886).

Almost surely, 2131252331 is an apocalyptic number.

131252331 is a deficient number, since it is larger than the sum of its proper divisors (73488933).

131252331 is a wasteful number, since it uses less digits than its factorization.

131252331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5124 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 131252331 is about 11456.5409701183. The cubic root of 131252331 is about 508.2011869228.

The spelling of 131252331 in words is "one hundred thirty-one million, two hundred fifty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 49 147 181 543 1267 3801 4933 8869 14799 26607 34531 103593 241717 725151 892873 2678619 6250111 18750333 43750777 131252331