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130559013 = 33131919577
BaseRepresentation
bin1111100100000…
…10110000100101
3100002200002022000
413302002300211
5231410342023
620542155513
73143506344
oct762026045
9302602260
10130559013
1167773a12
1237882b99
1321083070
14134a7b5b
15b6de243
hex7c82c25

130559013 has 32 divisors (see below), whose sum is σ = 219273600. Its totient is φ = 76111488.

The previous prime is 130559003. The next prime is 130559027. The reversal of 130559013 is 310955031.

It is not a de Polignac number, because 130559013 - 222 = 126364709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130559003) 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, 3120 + ... + 16457.

It is an arithmetic number, because the mean of its divisors is an integer number (6852300).

Almost surely, 2130559013 is an apocalyptic number.

130559013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130559013 is a deficient number, since it is larger than the sum of its proper divisors (88714587).

130559013 is a wasteful number, since it uses less digits than its factorization.

130559013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19618 (or 19612 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 130559013 is about 11426.2422956981. The cubic root of 130559013 is about 507.3047780598.

The spelling of 130559013 in words is "one hundred thirty million, five hundred fifty-nine thousand, thirteen".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 2223 6669 19577 58731 176193 254501 371963 528579 763503 1115889 2290509 3347667 4835519 6871527 10043001 14506557 43519671 130559013