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130031253 = 32111313447
BaseRepresentation
bin1111100000000…
…01111010010101
3100001200021100100
413300001322111
5231242000003
620523004313
73136150602
oct760017225
9301607310
10130031253
1167443450
1237669699
1320c29a91
14133ab6a9
15b637ba3
hex7c01e95

130031253 has 12 divisors (see below), whose sum is σ = 204897888. Its totient is φ = 78806760.

The previous prime is 130031243. The next prime is 130031263. The reversal of 130031253 is 352130031.

130031253 is a `hidden beast` number, since 1 + 300 + 312 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (130031243) and next prime (130031263).

It is not a de Polignac number, because 130031253 - 26 = 130031189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656625 + ... + 656822.

It is an arithmetic number, because the mean of its divisors is an integer number (17074824).

Almost surely, 2130031253 is an apocalyptic number.

It is an amenable number.

130031253 is a deficient number, since it is larger than the sum of its proper divisors (74866635).

130031253 is a wasteful number, since it uses less digits than its factorization.

130031253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313464 (or 1313461 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130031253 is about 11403.1247033434. The cubic root of 130031253 is about 506.6202938764.

Adding to 130031253 its reverse (352130031), we get a palindrome (482161284).

The spelling of 130031253 in words is "one hundred thirty million, thirty-one thousand, two hundred fifty-three".

Divisors: 1 3 9 11 33 99 1313447 3940341 11821023 14447917 43343751 130031253