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132179013 = 3329223757
BaseRepresentation
bin1111110000011…
…10010001000101
3100012201101112000
413320032101011
5232314212023
621041015513
73163334361
oct770162105
9305641460
10132179013
116868005a
1238324599
13214cc545
14137aa2a1
15b90e243
hex7e0e445

132179013 has 32 divisors (see below), whose sum is σ = 203750400. Its totient is φ = 84587328.

The previous prime is 132178951. The next prime is 132179017. The reversal of 132179013 is 310971231.

It is not a de Polignac number, because 132179013 - 220 = 131130437 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132179017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174231 + ... + 174987.

It is an arithmetic number, because the mean of its divisors is an integer number (6367200).

Almost surely, 2132179013 is an apocalyptic number.

It is an amenable number.

132179013 is a deficient number, since it is larger than the sum of its proper divisors (71571387).

132179013 is a wasteful number, since it uses less digits than its factorization.

132179013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 132179013 is about 11496.9131944188. The cubic root of 132179013 is about 509.3944022770.

The spelling of 132179013 in words is "one hundred thirty-two million, one hundred seventy-nine thousand, thirteen".

Divisors: 1 3 9 27 29 87 223 261 669 757 783 2007 2271 6021 6467 6813 19401 20439 21953 58203 65859 168811 174609 197577 506433 592731 1519299 4557897 4895519 14686557 44059671 132179013