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130361517 = 321113199509
BaseRepresentation
bin1111100010100…
…10100010101101
3100002022001101100
413301102202231
5231333032032
620534033313
73142024506
oct761224255
9302261340
10130361517
11676495a0
12377a8839
13210141c0
1413455bad
15b6a097c
hex7c528ad

130361517 has 48 divisors (see below), whose sum is σ = 222768000. Its totient is φ = 72420480.

The previous prime is 130361507. The next prime is 130361519. The reversal of 130361517 is 715163031.

130361517 is a `hidden beast` number, since 1 + 30 + 3 + 615 + 17 = 666.

It is a de Polignac number, because none of the positive numbers 2k-130361517 is a prime.

It is a super-2 number, since 2×1303615172 = 33988250229082578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130361519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255859 + ... + 256367.

It is an arithmetic number, because the mean of its divisors is an integer number (4641000).

Almost surely, 2130361517 is an apocalyptic number.

It is an amenable number.

130361517 is a deficient number, since it is larger than the sum of its proper divisors (92406483).

130361517 is a wasteful number, since it uses less digits than its factorization.

130361517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 130361517 is about 11417.5968136907. The cubic root of 130361517 is about 507.0488497917.

The spelling of 130361517 in words is "one hundred thirty million, three hundred sixty-one thousand, five hundred seventeen".

Divisors: 1 3 9 11 13 33 39 99 117 143 199 429 509 597 1287 1527 1791 2189 2587 4581 5599 6567 6617 7761 16797 19701 19851 23283 28457 50391 59553 72787 85371 101291 218361 256113 303873 655083 911619 1114201 1316783 3342603 3950349 10027809 11851047 14484613 43453839 130361517