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22243513013 is a prime number
BaseRepresentation
bin10100101101110100…
…010001001010110101
32010102012002112112022
4110231310101022311
5331023314404023
614115111402525
71415133512111
oct245564211265
963365075468
1022243513013
119484979607
124389383445
132136432b27
14111024c741
158a2bd07c8
hex52dd112b5

22243513013 has 2 divisors, whose sum is σ = 22243513014. Its totient is φ = 22243513012.

The previous prime is 22243512943. The next prime is 22243513079. The reversal of 22243513013 is 31031534222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18138163684 + 4105349329 = 134678^2 + 64073^2 .

It is a cyclic number.

It is not a de Polignac number, because 22243513013 - 28 = 22243512757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22243513913) 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 as a sum of consecutive naturals, namely, 11121756506 + 11121756507.

It is an arithmetic number, because the mean of its divisors is an integer number (11121756507).

Almost surely, 222243513013 is an apocalyptic number.

It is an amenable number.

22243513013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22243513013 is an equidigital number, since it uses as much as digits as its factorization.

22243513013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 22243513013 in words is "twenty-two billion, two hundred forty-three million, five hundred thirteen thousand, thirteen".