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13053131 = 713191751
BaseRepresentation
bin110001110010…
…110011001011
3220120011112022
4301302303023
511320200011
61143435055
7215643530
oct61626313
926504468
1013053131
117406013
124455a8b
132920460
141a3ad87
15122c8db
hexc72ccb

13053131 has 16 divisors (see below), whose sum is σ = 16171008. Its totient is φ = 10260000.

The previous prime is 13053097. The next prime is 13053143. The reversal of 13053131 is 13135031.

It is a cyclic number.

It is not a de Polignac number, because 13053131 - 26 = 13053067 is a prime.

It is a super-2 number, since 2×130531312 = 340768457806322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13053151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17006 + ... + 17756.

It is an arithmetic number, because the mean of its divisors is an integer number (1010688).

Almost surely, 213053131 is an apocalyptic number.

13053131 is a deficient number, since it is larger than the sum of its proper divisors (3117877).

13053131 is a wasteful number, since it uses less digits than its factorization.

13053131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 13053131 is about 3612.9117066433. The cubic root of 13053131 is about 235.4533635261.

Adding to 13053131 its reverse (13135031), we get a palindrome (26188162).

The spelling of 13053131 in words is "thirteen million, fifty-three thousand, one hundred thirty-one".

Divisors: 1 7 13 91 191 751 1337 2483 5257 9763 17381 68341 143441 1004087 1864733 13053131