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13129387505 = 5131923462221
BaseRepresentation
bin11000011101001001…
…01000110111110001
31020220000020222202022
430032210220313301
5203342110400010
610010452201225
7643233644453
oct141644506761
936800228668
1013129387505
115628219183
122665009215
131313134760
148c7a0a2d3
1551c9add55
hex30e928df1

13129387505 has 32 divisors (see below), whose sum is σ = 18636791040. Its totient is φ = 8785877760.

The previous prime is 13129387457. The next prime is 13129387549. The reversal of 13129387505 is 50578392131.

13129387505 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 13129387505 - 210 = 13129386481 is a prime.

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, 202706 + ... + 259515.

It is an arithmetic number, because the mean of its divisors is an integer number (582399720).

Almost surely, 213129387505 is an apocalyptic number.

It is an amenable number.

13129387505 is a deficient number, since it is larger than the sum of its proper divisors (5507403535).

13129387505 is a wasteful number, since it uses less digits than its factorization.

13129387505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462281.

The product of its (nonzero) digits is 226800, while the sum is 44.

The spelling of 13129387505 in words is "thirteen billion, one hundred twenty-nine million, three hundred eighty-seven thousand, five hundred five".

Divisors: 1 5 13 19 23 65 95 115 247 299 437 1235 1495 2185 5681 28405 462221 2311105 6008873 8782199 10631083 30044365 43910995 53155415 114168587 138204079 201990577 570842935 691020395 1009952885 2625877501 13129387505