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130713561 = 33111725889
BaseRepresentation
bin1111100101010…
…00011111011001
3100002221221022000
413302220133121
5231430313221
620545351213
73145022046
oct762503731
9302857260
10130713561
116786a040
1237938509
1321108504
14135081cd
15b71ee26
hex7ca87d9

130713561 has 32 divisors (see below), whose sum is σ = 223689600. Its totient is φ = 74557440.

The previous prime is 130713553. The next prime is 130713571. The reversal of 130713561 is 165317031.

130713561 is a `hidden beast` number, since 1 + 30 + 71 + 3 + 561 = 666.

It is not a de Polignac number, because 130713561 - 23 = 130713553 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 (130713511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7896 + ... + 17993.

It is an arithmetic number, because the mean of its divisors is an integer number (6990300).

Almost surely, 2130713561 is an apocalyptic number.

130713561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130713561 is a deficient number, since it is larger than the sum of its proper divisors (92976039).

130713561 is a wasteful number, since it uses less digits than its factorization.

130713561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25926 (or 25920 counting only the distinct ones).

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

The square root of 130713561 is about 11433.0031487794. The cubic root of 130713561 is about 507.5048715428.

The spelling of 130713561 in words is "one hundred thirty million, seven hundred thirteen thousand, five hundred sixty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 5049 25889 77667 233001 284779 440113 699003 854337 1320339 2563011 3961017 4841243 7689033 11883051 14523729 43571187 130713561