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130105315 = 5434631307
BaseRepresentation
bin1111100000100…
…11111111100011
3100001211000221101
413300103333203
5231301332230
620524335231
73136606534
oct760237743
9301730841
10130105315
116749405a
12376a4517
1320c546c2
14133ca68b
15b64eaca
hex7c13fe3

130105315 has 16 divisors (see below), whose sum is σ = 160224768. Its totient is φ = 101366496.

The previous prime is 130105309. The next prime is 130105333. The reversal of 130105315 is 513501031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130105315 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130105292 and 130105301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98892 + ... + 100198.

It is an arithmetic number, because the mean of its divisors is an integer number (10014048).

Almost surely, 2130105315 is an apocalyptic number.

130105315 is a deficient number, since it is larger than the sum of its proper divisors (30119453).

130105315 is a wasteful number, since it uses less digits than its factorization.

130105315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 130105315 is about 11406.3716842824. The cubic root of 130105315 is about 506.7164609899.

Adding to 130105315 its reverse (513501031), we get a palindrome (643606346).

The spelling of 130105315 in words is "one hundred thirty million, one hundred five thousand, three hundred fifteen".

Divisors: 1 5 43 215 463 1307 2315 6535 19909 56201 99545 281005 605141 3025705 26021063 130105315