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12311013 = 3111328697
BaseRepresentation
bin101110111101…
…100111100101
3212011110112110
4232331213211
511122423023
61115511233
7206433111
oct56754745
925143473
1012311013
116a494a0
124158519
132720730
1418c6741
151132a93
hexbbd9e5

12311013 has 16 divisors (see below), whose sum is σ = 19285056. Its totient is φ = 6887040.

The previous prime is 12310997. The next prime is 12311017. The reversal of 12311013 is 31011321.

It is not a de Polignac number, because 12311013 - 24 = 12310997 is a prime.

It is a super-2 number, since 2×123110132 = 303122082172338, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12311013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13920 + ... + 14777.

It is an arithmetic number, because the mean of its divisors is an integer number (1205316).

Almost surely, 212311013 is an apocalyptic number.

12311013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12311013 is a deficient number, since it is larger than the sum of its proper divisors (6974043).

12311013 is a wasteful number, since it uses less digits than its factorization.

12311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28724.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 12311013 is about 3508.7053167800. The cubic root of 12311013 is about 230.9038973566.

Adding to 12311013 its reverse (31011321), we get a palindrome (43322334).

The spelling of 12311013 in words is "twelve million, three hundred eleven thousand, thirteen".

Divisors: 1 3 11 13 33 39 143 429 28697 86091 315667 373061 947001 1119183 4103671 12311013