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13520134125 = 325312017897
BaseRepresentation
bin11001001011101110…
…01101111111101101
31021220020111222100100
430211313031333231
5210142123243000
610113331221313
7656020146441
oct144567157755
937806458310
1013520134125
115808843973
122753a47839
131376086284
14923882821
15541e45a00
hex325dcdfed

13520134125 has 24 divisors (see below), whose sum is σ = 24372297144. Its totient is φ = 7210737600.

The previous prime is 13520134099. The next prime is 13520134127. The reversal of 13520134125 is 52143102531.

13520134125 is a `hidden beast` number, since 1 + 3 + 520 + 13 + 4 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72948681 + 13447185444 = 8541^2 + 115962^2 .

It is not a de Polignac number, because 13520134125 - 25 = 13520134093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13520134127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6007824 + ... + 6010073.

It is an arithmetic number, because the mean of its divisors is an integer number (1015512381).

Almost surely, 213520134125 is an apocalyptic number.

13520134125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13520134125 is a deficient number, since it is larger than the sum of its proper divisors (10852163019).

13520134125 is a wasteful number, since it uses less digits than its factorization.

13520134125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12017918 (or 12017905 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13520134125 its reverse (52143102531), we get a palindrome (65663236656).

The spelling of 13520134125 in words is "thirteen billion, five hundred twenty million, one hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 12017897 36053691 60089485 108161073 180268455 300447425 540805365 901342275 1502237125 2704026825 4506711375 13520134125