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222100111122181 is a prime number
BaseRepresentation
bin110010011111111110110110…
…001110100101111100000101
31002010101120012121200100102021
4302133332312032211330011
5213102342011421402211
62104211214341243141
764532126541340405
oct6237766616457405
91063346177610367
10222100111122181
116484a145654a86
1220ab05a5a034b1
1396c0c48652786
143cbb9ba43a805
151aa2500c8c771
hexc9ffb63a5f05

222100111122181 has 2 divisors, whose sum is σ = 222100111122182. Its totient is φ = 222100111122180.

The previous prime is 222100111122173. The next prime is 222100111122199. The reversal of 222100111122181 is 181221111001222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115627740205156 + 106472370917025 = 10753034^2 + 10318545^2 .

It is a cyclic number.

It is not a de Polignac number, because 222100111122181 - 23 = 222100111122173 is a prime.

It is a super-2 number, since 2×2221001111221812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222100111122781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111050055561090 + 111050055561091.

It is an arithmetic number, because the mean of its divisors is an integer number (111050055561091).

Almost surely, 2222100111122181 is an apocalyptic number.

It is an amenable number.

222100111122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

222100111122181 is an equidigital number, since it uses as much as digits as its factorization.

222100111122181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 25.

The spelling of 222100111122181 in words is "two hundred twenty-two trillion, one hundred billion, one hundred eleven million, one hundred twenty-two thousand, one hundred eighty-one".