Search a number
-
+
13213431231 = 37112131937569
BaseRepresentation
bin11000100111001010…
…01111010110111111
31021002212101212001220
430103211033112333
5204030114244411
610023053404423
7645304212060
oct142345172677
937085355056
1013213431231
115670701500
122689199713
13132767c580
148d4c46567
15525060b06
hex31394f5bf

13213431231 has 192 divisors, whose sum is σ = 25811788800. Its totient is φ = 5830133760.

The previous prime is 13213431167. The next prime is 13213431239.

13213431231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13213431231 - 26 = 13213431167 is a prime.

It is a super-2 number, since 2×132134312312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213431239) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23221915 + ... + 23222483.

It is an arithmetic number, because the mean of its divisors is an integer number (134436400).

Almost surely, 213213431231 is an apocalyptic number.

13213431231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13213431231 is a deficient number, since it is larger than the sum of its proper divisors (12598357569).

13213431231 is a wasteful number, since it uses less digits than its factorization.

13213431231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 13213 and 431231, that added together give a palindrome (444444).

The spelling of 13213431231 in words is "thirteen billion, two hundred thirteen million, four hundred thirty-one thousand, two hundred thirty-one".