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13138820125 = 53105110561
BaseRepresentation
bin11000011110010001…
…00111110000011101
31020220200000012212121
430033020213300131
5203402014221000
610011430302541
7643410062014
oct141710476035
936820005777
1013138820125
115632581032
1226681b7a51
131315087ca2
148c8d83a7b
1551d723b1a
hex30f227c1d

13138820125 has 8 divisors (see below), whose sum is σ = 16397247672. Its totient is φ = 10511056000.

The previous prime is 13138820119. The next prime is 13138820129. The reversal of 13138820125 is 52102883131.

13138820125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4247650276 + 8891169849 = 65174^2 + 94293^2 .

It is a de Polignac number, because none of the positive numbers 2k-13138820125 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 (13138820129) 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 7 ways as a sum of consecutive naturals, for example, 52555156 + ... + 52555405.

It is an arithmetic number, because the mean of its divisors is an integer number (2049655959).

Almost surely, 213138820125 is an apocalyptic number.

It is an amenable number.

13138820125 is a deficient number, since it is larger than the sum of its proper divisors (3258427547).

13138820125 is an equidigital number, since it uses as much as digits as its factorization.

13138820125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105110576 (or 105110566 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 13138820125 in words is "thirteen billion, one hundred thirty-eight million, eight hundred twenty thousand, one hundred twenty-five".

Divisors: 1 5 25 125 105110561 525552805 2627764025 13138820125