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129072013 = 7531732011
BaseRepresentation
bin1111011000101…
…11101110001101
322222212112111221
413230113232031
5231020301023
620450243341
73125044150
oct754275615
9288775457
10129072013
1166948794
1237286551
1320982295
14131dbc97
15b4e885d
hex7b17b8d

129072013 has 16 divisors (see below), whose sum is σ = 151238016. Its totient is φ = 107864640.

The previous prime is 129071993. The next prime is 129072029. The reversal of 129072013 is 310270921.

It is a cyclic number.

It is not a de Polignac number, because 129072013 - 213 = 129063821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129072413) by changing a digit.

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, 63178 + ... + 65188.

It is an arithmetic number, because the mean of its divisors is an integer number (9452376).

Almost surely, 2129072013 is an apocalyptic number.

It is an amenable number.

129072013 is a deficient number, since it is larger than the sum of its proper divisors (22166003).

129072013 is a wasteful number, since it uses less digits than its factorization.

129072013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 129072013 is about 11360.9864448471. The cubic root of 129072013 is about 505.3714393079.

The spelling of 129072013 in words is "one hundred twenty-nine million, seventy-two thousand, thirteen".

Divisors: 1 7 53 173 371 1211 2011 9169 14077 64183 106583 347903 746081 2435321 18438859 129072013