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13129387551 = 337233020333
BaseRepresentation
bin11000011101001001…
…01000111000011111
31020220000020222211000
430032210220320133
5203342110400201
610010452201343
7643233644550
oct141644507037
936800228730
1013129387551
115628219215
122665009253
131313134797
148c7a0a327
1551c9add86
hex30e928e1f

13129387551 has 32 divisors (see below), whose sum is σ = 23196165120. Its totient is φ = 7176308832.

The previous prime is 13129387549. The next prime is 13129387553. The reversal of 13129387551 is 15578392131.

13129387551 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 93 + 8 + 7 + 551 = 666.

13129387551 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 (13129387549) and next prime (13129387553).

It is not a de Polignac number, because 13129387551 - 21 = 13129387549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13129387497 and 13129387506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13129387553) 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 31 ways as a sum of consecutive naturals, for example, 1505820 + ... + 1514513.

It is an arithmetic number, because the mean of its divisors is an integer number (724880160).

Almost surely, 213129387551 is an apocalyptic number.

13129387551 is a deficient number, since it is larger than the sum of its proper divisors (10066777569).

13129387551 is a wasteful number, since it uses less digits than its factorization.

13129387551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020372 (or 3020366 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 13129387551 in words is "thirteen billion, one hundred twenty-nine million, three hundred eighty-seven thousand, five hundred fifty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 3020333 9060999 21142331 27182997 63426993 69467659 81548991 190280979 208402977 486273613 570842937 625208931 1458820839 1875626793 4376462517 13129387551