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22210012122209 is a prime number
BaseRepresentation
bin1010000110011001010111…
…11000100000110001100001
32220122020220221011112210022
411003030223320200301201
510402342101100402314
6115123045543443225
74451422543064432
oct503145370406141
986566827145708
1022210012122209
11709323891368a
1225a8548156515
13c5151a20a232
1456ad827c9489
15287b0028c78e
hex14332be20c61

22210012122209 has 2 divisors, whose sum is σ = 22210012122210. Its totient is φ = 22210012122208.

The previous prime is 22210012122187. The next prime is 22210012122211. The reversal of 22210012122209 is 90222121001222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17019156183184 + 5190855939025 = 4125428^2 + 2278345^2 .

It is a cyclic number.

It is not a de Polignac number, because 22210012122209 - 212 = 22210012118113 is a prime.

Together with 22210012122211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22210012122229) 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, 11105006061104 + 11105006061105.

It is an arithmetic number, because the mean of its divisors is an integer number (11105006061105).

Almost surely, 222210012122209 is an apocalyptic number.

It is an amenable number.

22210012122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

22210012122209 is an equidigital number, since it uses as much as digits as its factorization.

22210012122209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 22210012122209 in words is "twenty-two trillion, two hundred ten billion, twelve million, one hundred twenty-two thousand, two hundred nine".