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13021412031 = 326126099091
BaseRepresentation
bin11000010000010001…
…01111101010111111
31020121111002021020200
430020020233222333
5203131440141111
65552034014543
7640453114245
oct141010575277
936544067220
1013021412031
11558227a651
122634a17453
1312c695aa44
148b7540795
15513281256
hex30822fabf

13021412031 has 24 divisors (see below), whose sum is σ = 19126476720. Its totient is φ = 8534419200.

The previous prime is 13021412029. The next prime is 13021412057.

13021412031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13021412031 - 21 = 13021412029 is a prime.

It is a super-2 number, since 2×130214120312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13021411995 and 13021412013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021412231) 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, 1427796 + ... + 1436886.

It is an arithmetic number, because the mean of its divisors is an integer number (796936530).

Almost surely, 213021412031 is an apocalyptic number.

13021412031 is a deficient number, since it is larger than the sum of its proper divisors (6105064689).

13021412031 is a wasteful number, since it uses less digits than its factorization.

13021412031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11767 (or 11764 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 13021412031 in words is "thirteen billion, twenty-one million, four hundred twelve thousand, thirty-one".

Divisors: 1 3 9 61 183 549 2609 7827 9091 23481 27273 81819 159149 477447 554551 1432341 1663653 4990959 23718419 71155257 213465771 1446823559 4340470677 13021412031