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13135202520 = 2335119950911
BaseRepresentation
bin11000011101110101…
…10100100011011000
31020220102012102110020
430032322310203120
5203400102440040
610011220550440
7643334244036
oct141672644330
936812172406
1013135202520
115630530080
122666b52420
1313143bc4ab
148c86c1556
1551d25bcd0
hex30eeb48d8

13135202520 has 64 divisors (see below), whose sum is σ = 42987939840. Its totient is φ = 3184291200.

The previous prime is 13135202519. The next prime is 13135202537. The reversal of 13135202520 is 2520253131.

It is a happy number.

13135202520 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 (24).

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 15 ways as a sum of consecutive naturals, for example, 4974136 + ... + 4976775.

It is an arithmetic number, because the mean of its divisors is an integer number (671686560).

Almost surely, 213135202520 is an apocalyptic number.

13135202520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13135202520 is an abundant number, since it is smaller than the sum of its proper divisors (29852737320).

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

13135202520 is a wasteful number, since it uses less digits than its factorization.

13135202520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950936 (or 9950932 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 13135202520 its reverse (2520253131), we get a palindrome (15655455651).

The spelling of 13135202520 in words is "thirteen billion, one hundred thirty-five million, two hundred two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9950911 19901822 29852733 39803644 49754555 59705466 79607288 99509110 109460021 119410932 149263665 199018220 218920042 238821864 298527330 328380063 398036440 437840084 547300105 597054660 656760126 875680168 1094600210 1194109320 1313520252 1641900315 2189200420 2627040504 3283800630 4378400840 6567601260 13135202520