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13330759431 = 3112834633083
BaseRepresentation
bin11000110101001001…
…10011111100000111
31021102001011202002210
430122210303330013
5204300133300211
610042444234503
7651230404563
oct143244637407
937361152083
1013330759431
115720958960
12270053ba33
131345a7c342
149066686a3
155304d99a6
hex31a933f07

13330759431 has 32 divisors (see below), whose sum is σ = 19507064832. Its totient is φ = 8030705760.

The previous prime is 13330759399. The next prime is 13330759433. The reversal of 13330759431 is 13495703331.

It is not a de Polignac number, because 13330759431 - 25 = 13330759399 is a prime.

It is a super-2 number, since 2×133307594312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13330759431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330759433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4322416 + ... + 4325498.

It is an arithmetic number, because the mean of its divisors is an integer number (609595776).

Almost surely, 213330759431 is an apocalyptic number.

13330759431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13330759431 is a deficient number, since it is larger than the sum of its proper divisors (6176305401).

13330759431 is a wasteful number, since it uses less digits than its factorization.

13330759431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843.

The product of its (nonzero) digits is 102060, while the sum is 39.

The spelling of 13330759431 in words is "thirteen billion, three hundred thirty million, seven hundred fifty-nine thousand, four hundred thirty-one".

Divisors: 1 3 11 33 283 463 849 1389 3083 3113 5093 9249 9339 15279 33913 101739 131029 393087 872489 1427429 1441319 2617467 4282287 4323957 9597379 15701719 28792137 47105157 403962407 1211887221 4443586477 13330759431