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13540204531 = 741210111393
BaseRepresentation
bin11001001110000111…
…10001111111110011
31021221122021122202201
430213003301333303
5210212243021111
610115325324031
7656352560650
oct144703617763
937848248681
1013540204531
115819102087
12275a706617
13137a292759
149263c8c27
15543aac6c1
hex3270f1ff3

13540204531 has 24 divisors (see below), whose sum is σ = 16019599392. Its totient is φ = 11209728000.

The previous prime is 13540204529. The next prime is 13540204541.

13540204531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13540204531 - 21 = 13540204529 is a prime.

It is a super-2 number, since 2×135402045312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13540204531.

It is not an unprimeable number, because it can be changed into a prime (13540204541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182771 + ... + 1194163.

It is an arithmetic number, because the mean of its divisors is an integer number (667483308).

Almost surely, 213540204531 is an apocalyptic number.

13540204531 is a deficient number, since it is larger than the sum of its proper divisors (2479394861).

13540204531 is a wasteful number, since it uses less digits than its factorization.

13540204531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11583 (or 11542 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 13540204531 in words is "thirteen billion, five hundred forty million, two hundred four thousand, five hundred thirty-one".

Divisors: 1 7 41 101 287 707 1681 4141 11393 11767 28987 79751 169781 467113 1150693 1188467 3269791 8054851 19151633 47178413 134061431 330248891 1934314933 13540204531