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222112100210009 is a prime number
BaseRepresentation
bin110010100000001010000000…
…110101010101010101011001
31002010102201011011021010002012
4302200022000311111111121
5213103041040123210014
62104220520141115305
764533032621035262
oct6240120065252531
91063381134233065
10222112100210009
1164854238133129
1220ab2990b58b35
1396c2109466499
143cbc3d6817969
151aa29a35a4c3e
hexca0280d55559

222112100210009 has 2 divisors, whose sum is σ = 222112100210010. Its totient is φ = 222112100210008.

The previous prime is 222112100209999. The next prime is 222112100210057. The reversal of 222112100210009 is 900012001211222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127690067800009 + 94422032410000 = 11300003^2 + 9717100^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112100210009 - 224 = 222112083432793 is a prime.

It is not a weakly prime, because it can be changed into another prime (222112100210309) 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, 111056050105004 + 111056050105005.

It is an arithmetic number, because the mean of its divisors is an integer number (111056050105005).

Almost surely, 2222112100210009 is an apocalyptic number.

It is an amenable number.

222112100210009 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112100210009 is an equidigital number, since it uses as much as digits as its factorization.

222112100210009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 222112100210009 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred million, two hundred ten thousand, nine".