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13560117120 = 273351171339
BaseRepresentation
bin11001010000011111…
…01111011110000000
31022000000202022201000
430220033233132000
5210232342221440
610121320212000
7660014044104
oct145017573600
938000668630
1013560117120
115829372770
12276530a000
131381445154
14928ccd904
155456e2730
hex3283ef780

13560117120 has 256 divisors, whose sum is σ = 52392096000. Its totient is φ = 3287255040.

The previous prime is 13560117119. The next prime is 13560117139. The reversal of 13560117120 is 2171106531.

13560117120 is a `hidden beast` number, since 1 + 3 + 560 + 11 + 71 + 20 = 666.

13560117120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 154411 + ... + 225749.

It is an arithmetic number, because the mean of its divisors is an integer number (204656625).

Almost surely, 213560117120 is an apocalyptic number.

13560117120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13560117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26196048000).

13560117120 is an abundant number, since it is smaller than the sum of its proper divisors (38831978880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13560117120 is a wasteful number, since it uses less digits than its factorization.

13560117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71378 (or 71360 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 13560117120 in words is "thirteen billion, five hundred sixty million, one hundred seventeen thousand, one hundred twenty".