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130561431 = 37211136211
BaseRepresentation
bin1111100100000…
…11010110010111
3100002200012121120
413302003112113
5231410431211
620542215023
73143516400
oct762032627
9302605546
10130561431
1167775810
1237884473
13210841b0
14134a89a7
15b6ded06
hex7c83597

130561431 has 48 divisors (see below), whose sum is σ = 237944448. Its totient is φ = 62596800.

The previous prime is 130561427. The next prime is 130561433. The reversal of 130561431 is 134165031.

It is not a de Polignac number, because 130561431 - 22 = 130561427 is a prime.

It is a super-2 number, since 2×1305614312 = 34092574529535522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130561433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17916 + ... + 24126.

It is an arithmetic number, because the mean of its divisors is an integer number (4957176).

Almost surely, 2130561431 is an apocalyptic number.

130561431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130561431 is a deficient number, since it is larger than the sum of its proper divisors (107383017).

130561431 is a wasteful number, since it uses less digits than its factorization.

130561431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 130561431 is about 11426.3481042720. The cubic root of 130561431 is about 507.3079098630.

The spelling of 130561431 in words is "one hundred thirty million, five hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 6211 7007 18633 21021 43477 68321 80743 130431 204963 242229 304339 478247 565201 888173 913017 1434741 1695603 2664519 3347729 3956407 6217211 10043187 11869221 18651633 43520477 130561431