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130015405 = 51317971213
BaseRepresentation
bin1111011111111…
…10000010101101
3100001122110121101
413233332002231
5231240443110
620522403101
73136053442
oct757760255
9301573541
10130015405
1167432553
1237660491
1320c227c0
14133a59c9
15b63313a
hex7bfe0ad

130015405 has 32 divisors (see below), whose sum is σ = 179885664. Its totient is φ = 89358336.

The previous prime is 130015399. The next prime is 130015411. The reversal of 130015405 is 504510031.

It is an interprime number because it is at equal distance from previous prime (130015399) and next prime (130015411).

It can be written as a sum of positive squares in 16 ways, for example, as 70509609 + 59505796 = 8397^2 + 7714^2 .

It is a cyclic number.

It is not a de Polignac number, because 130015405 - 211 = 130013357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106579 + ... + 107791.

It is an arithmetic number, because the mean of its divisors is an integer number (5621427).

Almost surely, 2130015405 is an apocalyptic number.

It is an amenable number.

130015405 is a deficient number, since it is larger than the sum of its proper divisors (49870259).

130015405 is a wasteful number, since it uses less digits than its factorization.

130015405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 130015405 is about 11402.4297849187. The cubic root of 130015405 is about 506.5997110180.

Adding to 130015405 its reverse (504510031), we get a palindrome (634525436).

The spelling of 130015405 in words is "one hundred thirty million, fifteen thousand, four hundred five".

Divisors: 1 5 13 17 65 85 97 221 485 1105 1213 1261 1649 6065 6305 8245 15769 20621 21437 78845 103105 107185 117661 268073 588305 1340365 1529593 2000237 7647965 10001185 26003081 130015405