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13128418251 = 331337402901
BaseRepresentation
bin11000011101000001…
…11100001111001011
31020212221102202012000
430032200330033023
5203341333341001
610010415322043
7643222466604
oct141640741713
936787382160
1013128418251
115627716a43
122664820323
131312b85530
148c7836dab
1551c86ba86
hex30e83c3cb

13128418251 has 16 divisors (see below), whose sum is σ = 20945625120. Its totient is φ = 8079026400.

The previous prime is 13128418241. The next prime is 13128418271. The reversal of 13128418251 is 15281482131.

It is a happy number.

13128418251 is a `hidden beast` number, since 1 + 312 + 84 + 18 + 251 = 666.

13128418251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13128418251 - 231 = 10980934603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13128418241) 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, 18701100 + ... + 18701801.

It is an arithmetic number, because the mean of its divisors is an integer number (1309101570).

Almost surely, 213128418251 is an apocalyptic number.

13128418251 is a deficient number, since it is larger than the sum of its proper divisors (7817206869).

13128418251 is a wasteful number, since it uses less digits than its factorization.

13128418251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37402923 (or 37402917 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The spelling of 13128418251 in words is "thirteen billion, one hundred twenty-eight million, four hundred eighteen thousand, two hundred fifty-one".

Divisors: 1 3 9 13 27 39 117 351 37402901 112208703 336626109 486237713 1009878327 1458713139 4376139417 13128418251