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130105314 = 23261118493
BaseRepresentation
bin1111100000100…
…11111111100010
3100001211000221100
413300103333202
5231301332224
620524335230
73136606533
oct760237742
9301730840
10130105314
1167494059
12376a4516
1320c546c1
14133ca68a
15b64eac9
hex7c13fe2

130105314 has 24 divisors (see below), whose sum is σ = 286518492. Its totient is φ = 42657120.

The previous prime is 130105309. The next prime is 130105333. The reversal of 130105314 is 413501031.

130105314 is a `hidden beast` number, since 130 + 1 + 0 + 531 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95707089 + 34398225 = 9783^2 + 5865^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58149 + ... + 60344.

Almost surely, 2130105314 is an apocalyptic number.

130105314 is an abundant number, since it is smaller than the sum of its proper divisors (156413178).

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

130105314 is a wasteful number, since it uses less digits than its factorization.

130105314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118562 (or 118559 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130105314 is about 11406.3716404473. The cubic root of 130105314 is about 506.7164596917.

Adding to 130105314 its reverse (413501031), we get a palindrome (543606345).

The spelling of 130105314 in words is "one hundred thirty million, one hundred five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 118493 236986 355479 710958 1066437 2132874 7228073 14456146 21684219 43368438 65052657 130105314