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13231313231 = 1710728325703
BaseRepresentation
bin11000101001010010…
…11101000101001111
31021011010001100120012
430110221131011033
5204044204010411
610024532543435
7645612210143
oct142451350517
937133040505
1013231313231
11567a805514
122693181b7b
13132b2a0936
148d737d223
155268e418b
hex314a5d14f

13231313231 has 16 divisors (see below), whose sum is σ = 14191075584. Its totient is φ = 12292546944.

The previous prime is 13231313219. The next prime is 13231313239.

13231313231 is nontrivially palindromic in base 10.

13231313231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13231313231 - 218 = 13231051087 is a prime.

It is a super-2 number, since 2×132313132312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13231313197 and 13231313206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231313239) by changing a digit.

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, 501926 + ... + 527628.

It is an arithmetic number, because the mean of its divisors is an integer number (886942224).

Almost surely, 213231313231 is an apocalyptic number.

13231313231 is a deficient number, since it is larger than the sum of its proper divisors (959762353).

13231313231 is a wasteful number, since it uses less digits than its factorization.

13231313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26110.

The product of its digits is 972, while the sum is 23.

The spelling of 13231313231 in words is "thirteen billion, two hundred thirty-one million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 17 107 283 1819 4811 25703 30281 436951 514777 2750221 7273949 46753757 123657133 778312543 13231313231