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22131332013 = 3721129133351
BaseRepresentation
bin10100100111001000…
…010101001110101101
32010010101000011010110
4110213020111032231
5330311110111023
614100023130233
71412302134600
oct244710251655
963111004113
1022131332013
11942761833a
1243578a3979
132119115b3b
1410dd3aa337
15897e21a93
hex5272153ad

22131332013 has 24 divisors (see below), whose sum is σ = 34356809280. Its totient is φ = 12635179200.

The previous prime is 22131331979. The next prime is 22131332077. The reversal of 22131332013 is 31023313122.

It is not a de Polignac number, because 22131332013 - 26 = 22131331949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131332213) 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 23 ways as a sum of consecutive naturals, for example, 99288 + ... + 232638.

It is an arithmetic number, because the mean of its divisors is an integer number (1431533720).

Almost surely, 222131332013 is an apocalyptic number.

It is an amenable number.

22131332013 is a deficient number, since it is larger than the sum of its proper divisors (12225477267).

22131332013 is a wasteful number, since it uses less digits than its factorization.

22131332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134497 (or 134490 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22131332013 its reverse (31023313122), we get a palindrome (53154645135).

The spelling of 22131332013 in words is "twenty-two billion, one hundred thirty-one million, three hundred thirty-two thousand, thirteen".

Divisors: 1 3 7 21 49 147 1129 3387 7903 23709 55321 133351 165963 400053 933457 2800371 6534199 19602597 150553279 451659837 1053872953 3161618859 7377110671 22131332013