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22122222013 is a prime number
BaseRepresentation
bin10100100110100101…
…100101000110111101
32010002201212022120001
4110212211211012331
5330301242101023
614055055554301
71412131533043
oct244645450675
963081768501
1022122222013
119422465911
12435482b991
1321172763c8
1410dc0b8393
158972226ad
hex5269651bd

22122222013 has 2 divisors, whose sum is σ = 22122222014. Its totient is φ = 22122222012.

The previous prime is 22122222011. The next prime is 22122222019. The reversal of 22122222013 is 31022222122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17837472249 + 4284749764 = 133557^2 + 65458^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122222013 - 21 = 22122222011 is a prime.

It is a super-3 number, since 3×221222220133 (a number of 32 digits) contains 333 as substring.

Together with 22122222011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22122222011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061111006 + 11061111007.

It is an arithmetic number, because the mean of its divisors is an integer number (11061111007).

Almost surely, 222122222013 is an apocalyptic number.

It is an amenable number.

22122222013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122222013 is an equidigital number, since it uses as much as digits as its factorization.

22122222013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22122222013 its reverse (31022222122), we get a palindrome (53144444135).

The spelling of 22122222013 in words is "twenty-two billion, one hundred twenty-two million, two hundred twenty-two thousand, thirteen".