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130513831056 = 24327129478007
BaseRepresentation
bin111100110001100111…
…0110000010010010000
3110110212201210120022200
41321203032300102100
54114243020043211
6135542432203200
712300153155040
oct1714316602220
9413781716280
10130513831056
1150394722aa4
1221364999500
13c3cc49018b
146461821720
1535dd00eb56
hex1e633b0490

130513831056 has 60 divisors (see below), whose sum is σ = 417437097792. Its totient is φ = 37289665728.

The previous prime is 130513831051. The next prime is 130513831067. The reversal of 130513831056 is 650138315031.

130513831056 is a `hidden beast` number, since 1 + 3 + 0 + 513 + 83 + 10 + 56 = 666.

130513831056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1305138310562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130513831056.

It is not an unprimeable number, because it can be changed into a prime (130513831051) 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, 64737996 + ... + 64740011.

Almost surely, 2130513831056 is an apocalyptic number.

130513831056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130513831056 is an abundant number, since it is smaller than the sum of its proper divisors (286923266736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130513831056 is a wasteful number, since it uses less digits than its factorization.

130513831056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129478028 (or 129478019 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 130513831056 in words is "one hundred thirty billion, five hundred thirteen million, eight hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 129478007 258956014 388434021 517912028 776868042 906346049 1035824056 1165302063 1553736084 1812692098 2071648112 2330604126 2719038147 3107472168 3625384196 4661208252 5438076294 6214944336 7250768392 8157114441 9322416504 10876152588 14501536784 16314228882 18644833008 21752305176 32628457764 43504610352 65256915528 130513831056