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130130568 = 23326129629
BaseRepresentation
bin1111100000110…
…10001010001000
3100001212022120200
413300122022020
5231303134233
620525052200
73140043261
oct760321210
9301768520
10130130568
1167501027
12376b7060
1320c63049
14133d5968
15b657313
hex7c1a288

130130568 has 48 divisors (see below), whose sum is σ = 358226700. Its totient is φ = 42664320.

The previous prime is 130130557. The next prime is 130130579. The reversal of 130130568 is 865031031.

It is an interprime number because it is at equal distance from previous prime (130130557) and next prime (130130579).

It can be written as a sum of positive squares in 2 ways, for example, as 129549924 + 580644 = 11382^2 + 762^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10423 + ... + 19206.

Almost surely, 2130130568 is an apocalyptic number.

130130568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130130568 is an abundant number, since it is smaller than the sum of its proper divisors (228096132).

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

130130568 is a wasteful number, since it uses less digits than its factorization.

130130568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29702 (or 29695 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130130568 is about 11407.4785995854. The cubic root of 130130568 is about 506.7492428507.

Adding to 130130568 its reverse (865031031), we get a palindrome (995161599).

The spelling of 130130568 in words is "one hundred thirty million, one hundred thirty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 29629 59258 88887 118516 177774 237032 266661 355548 533322 711096 1066644 1807369 2133288 3614738 5422107 7229476 10844214 14458952 16266321 21688428 32532642 43376856 65065284 130130568