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222212222102081 is a prime number
BaseRepresentation
bin110010100001100111010000…
…100100000010101001000001
31002010210021120211021012211002
4302201213100210002221001
5213111211112324231311
62104334515140501345
764543206005055251
oct6241472044025101
91063707524235732
10222212222102081
1164892746352582
1220b0a2736aa855
1396cb6a42b30c3
143cc31b3b27961
151aa53b336a93b
hexca19d0902a41

222212222102081 has 2 divisors, whose sum is σ = 222212222102082. Its totient is φ = 222212222102080.

The previous prime is 222212222102063. The next prime is 222212222102111. The reversal of 222212222102081 is 180201222212222.

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., 168507010050625 + 53705212051456 = 12981025^2 + 7328384^2 .

It is a cyclic number.

It is not a de Polignac number, because 222212222102081 - 226 = 222212154993217 is a prime.

It is a super-2 number, since 2×2222122221020812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222212222102681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111106111051040 + 111106111051041.

It is an arithmetic number, because the mean of its divisors is an integer number (111106111051041).

Almost surely, 2222212222102081 is an apocalyptic number.

It is an amenable number.

222212222102081 is a deficient number, since it is larger than the sum of its proper divisors (1).

222212222102081 is an equidigital number, since it uses as much as digits as its factorization.

222212222102081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 29.

The spelling of 222212222102081 in words is "two hundred twenty-two trillion, two hundred twelve billion, two hundred twenty-two million, one hundred two thousand, eighty-one".