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12331311013 = 719911517691
BaseRepresentation
bin10110111110000000…
…01101111110100101
31011211101112111121201
423133000031332211
5200223303423023
65355342442501
7614403262030
oct133700157645
934741474551
1012331311013
11525878152a
122481893431
1312169a6248
1484da22017
154c28b6bad
hex2df00dfa5

12331311013 has 16 divisors (see below), whose sum is σ = 14177894400. Its totient is φ = 10506078000.

The previous prime is 12331311007. The next prime is 12331311017. The reversal of 12331311013 is 31011313321.

It is a cyclic number.

It is not a de Polignac number, because 12331311013 - 213 = 12331302821 is a prime.

It is a super-2 number, since 2×123313110132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331311017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599498 + ... + 1607188.

It is an arithmetic number, because the mean of its divisors is an integer number (886118400).

Almost surely, 212331311013 is an apocalyptic number.

It is an amenable number.

12331311013 is a deficient number, since it is larger than the sum of its proper divisors (1846583387).

12331311013 is a wasteful number, since it uses less digits than its factorization.

12331311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 12331311013 its reverse (31011313321), we get a palindrome (43342624334).

The spelling of 12331311013 in words is "twelve billion, three hundred thirty-one million, three hundred eleven thousand, thirteen".

Divisors: 1 7 199 1151 1393 7691 8057 53837 229049 1530509 1603343 8852341 10713563 61966387 1761615859 12331311013