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222122132081 is a prime number
BaseRepresentation
bin1100111011011110000…
…0101100001001110001
3210020100001222102200122
43032313200230021301
512114401231211311
6250012544100025
722022251653623
oct3166740541161
9706301872618
10222122132081
1186224175493
1237070304615
1317c3b563665
14aa72174c13
155ba067a0db
hex33b782c271

222122132081 has 2 divisors, whose sum is σ = 222122132082. Its totient is φ = 222122132080.

The previous prime is 222122132053. The next prime is 222122132083. The reversal of 222122132081 is 180231221222.

It is a happy number.

222122132081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177089472400 + 45032659681 = 420820^2 + 212209^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222122132081 is a prime.

It is a super-2 number, since 2×2221221320812 (a number of 23 digits) contains 22 as substring.

Together with 222122132083, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 222122132081.

It is not a weakly prime, because it can be changed into another prime (222122132083) 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, 111061066040 + 111061066041.

It is an arithmetic number, because the mean of its divisors is an integer number (111061066041).

Almost surely, 2222122132081 is an apocalyptic number.

It is an amenable number.

222122132081 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122132081 is an equidigital number, since it uses as much as digits as its factorization.

222122132081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 222122132081 in words is "two hundred twenty-two billion, one hundred twenty-two million, one hundred thirty-two thousand, eighty-one".