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13125514120 = 235496966037
BaseRepresentation
bin11000011100101011…
…10111001110001000
31020212201222012110121
430032111313032020
5203340112422440
610010233153024
7643156013005
oct141625671610
936781865417
1013125514120
115626013034
12266385b774
1313123a9704
148c72bc8ac
1551c49634a
hex30e577388

13125514120 has 32 divisors (see below), whose sum is σ = 29538797400. Its totient is φ = 5249069568.

The previous prime is 13125514117. The next prime is 13125514123. The reversal of 13125514120 is 2141552131.

13125514120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13125514117) and next prime (13125514123).

It can be written as a sum of positive squares in 4 ways, for example, as 11290762564 + 1834751556 = 106258^2 + 42834^2 .

It is not an unprimeable number, because it can be changed into a prime (13125514123) 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, 165742 + ... + 231778.

Almost surely, 213125514120 is an apocalyptic number.

13125514120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13125514120 is an abundant number, since it is smaller than the sum of its proper divisors (16413283280).

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

13125514120 is a wasteful number, since it uses less digits than its factorization.

13125514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71017 (or 71013 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 13125514120 in words is "thirteen billion, one hundred twenty-five million, five hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 4969 9938 19876 24845 39752 49690 66037 99380 132074 198760 264148 330185 528296 660370 1320740 2641480 328137853 656275706 1312551412 1640689265 2625102824 3281378530 6562757060 13125514120