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130157313 = 31113319787
BaseRepresentation
bin1111100001000…
…00101100000001
3100001220200021020
413300200230001
5231310013223
620525420053
73140214246
oct760405401
9301820236
10130157313
116751a130
123770a629
1320c72280
14134015cd
15b6601e3
hex7c20b01

130157313 has 32 divisors (see below), whose sum is σ = 210481152. Its totient is φ = 70459200.

The previous prime is 130157243. The next prime is 130157327. The reversal of 130157313 is 313751031.

It is not a de Polignac number, because 130157313 - 28 = 130157057 is a prime.

It is a super-2 number, since 2×1301573132 = 33881852254759938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130157383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8406 + ... + 18192.

It is an arithmetic number, because the mean of its divisors is an integer number (6577536).

Almost surely, 2130157313 is an apocalyptic number.

130157313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130157313 is a deficient number, since it is larger than the sum of its proper divisors (80323839).

130157313 is a wasteful number, since it uses less digits than its factorization.

130157313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9845.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 130157313 is about 11408.6507966543. The cubic root of 130157313 is about 506.7839569083.

The spelling of 130157313 in words is "one hundred thirty million, one hundred fifty-seven thousand, three hundred thirteen".

Divisors: 1 3 11 13 31 33 39 93 143 341 403 429 1023 1209 4433 9787 13299 29361 107657 127231 303397 322971 381693 910191 1399541 3337367 3944161 4198623 10012101 11832483 43385771 130157313