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130063617 = 3317476029
BaseRepresentation
bin1111100000010…
…01110100000001
3100001201220202000
413300021310001
5231244013432
620523414213
73136344135
oct760116401
9301656660
10130063617
11674657a2
1237684369
1320c3b728
14133b93c5
15b64257c
hex7c09d01

130063617 has 32 divisors (see below), whose sum is σ = 208396800. Its totient is φ = 79858944.

The previous prime is 130063601. The next prime is 130063627. The reversal of 130063617 is 716360031.

130063617 is a `hidden beast` number, since 13 + 0 + 0 + 636 + 17 = 666.

It is not a de Polignac number, because 130063617 - 24 = 130063601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130063627) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18559 + ... + 24587.

It is an arithmetic number, because the mean of its divisors is an integer number (6512400).

Almost surely, 2130063617 is an apocalyptic number.

130063617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130063617 is a deficient number, since it is larger than the sum of its proper divisors (78333183).

130063617 is a wasteful number, since it uses less digits than its factorization.

130063617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 130063617 is about 11404.5436997716. The cubic root of 130063617 is about 506.6623219753.

The spelling of 130063617 in words is "one hundred thirty million, sixty-three thousand, six hundred seventeen".

Divisors: 1 3 9 17 27 47 51 141 153 423 459 799 1269 2397 6029 7191 18087 21573 54261 102493 162783 283363 307479 850089 922437 2550267 2767311 4817171 7650801 14451513 43354539 130063617