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22040334013 is a prime number
BaseRepresentation
bin10100100001101101…
…001100111010111101
32002220000202222100011
4110201231030322331
5330114311142023
614043012503221
71410115514365
oct244155147275
962800688304
1022040334013
119390215185
12433131ab11
132103304879
1410d127d9a5
1588ee4950d
hex521b4cebd

22040334013 has 2 divisors, whose sum is σ = 22040334014. Its totient is φ = 22040334012.

The previous prime is 22040334007. The next prime is 22040334031. The reversal of 22040334013 is 31043304022.

It is a happy number.

Together with next prime (22040334031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17732118244 + 4308215769 = 133162^2 + 65637^2 .

It is a cyclic number.

It is not a de Polignac number, because 22040334013 - 213 = 22040325821 is a prime.

It is a super-3 number, since 3×220403340133 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22040334053) 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 as a sum of consecutive naturals, namely, 11020167006 + 11020167007.

It is an arithmetic number, because the mean of its divisors is an integer number (11020167007).

Almost surely, 222040334013 is an apocalyptic number.

It is an amenable number.

22040334013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22040334013 is an equidigital number, since it uses as much as digits as its factorization.

22040334013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22040334013 its reverse (31043304022), we get a palindrome (53083638035).

The spelling of 22040334013 in words is "twenty-two billion, forty million, three hundred thirty-four thousand, thirteen".