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130813641 = 3272076407
BaseRepresentation
bin1111100110000…
…00111011001001
3100010011000120200
413303000323021
5231442014031
620551442413
73145616610
oct763007311
9303130520
10130813641
1167928252
1237986409
1321141c2a
1413532877
15b73e8e6
hex7cc0ec9

130813641 has 12 divisors (see below), whose sum is σ = 215946432. Its totient is φ = 74750616.

The previous prime is 130813607. The next prime is 130813667. The reversal of 130813641 is 146318031.

130813641 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 13 + 641 = 666.

It is not a de Polignac number, because 130813641 - 29 = 130813129 is a prime.

It is a super-2 number, since 2×1308136412 = 34224417343353762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130813601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038141 + ... + 1038266.

It is an arithmetic number, because the mean of its divisors is an integer number (17995536).

Almost surely, 2130813641 is an apocalyptic number.

It is an amenable number.

130813641 is a deficient number, since it is larger than the sum of its proper divisors (85132791).

130813641 is a wasteful number, since it uses less digits than its factorization.

130813641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076420 (or 2076417 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130813641 is about 11437.3791141153. The cubic root of 130813641 is about 507.6343611179.

The spelling of 130813641 in words is "one hundred thirty million, eight hundred thirteen thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 63 2076407 6229221 14534849 18687663 43604547 130813641