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221022102221149 is a prime number
BaseRepresentation
bin110010010000010010110111…
…111000111111000101011101
31001222120111200022202011020111
4302100102313320333011131
5212432211231132034044
62102024052501250021
764361214510020125
oct6220226770770535
91058514608664214
10221022102221149
1164473a46740149
1220957692a03911
1396433aa900bc8
143c81753877c85
151a8445ac5cb34
hexc904b7e3f15d

221022102221149 has 2 divisors, whose sum is σ = 221022102221150. Its totient is φ = 221022102221148.

The previous prime is 221022102221147. The next prime is 221022102221213. The reversal of 221022102221149 is 941122201220122.

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., 220483683808249 + 538418412900 = 14848693^2 + 733770^2 .

It is a cyclic number.

It is not a de Polignac number, because 221022102221149 - 21 = 221022102221147 is a prime.

Together with 221022102221147, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 221022102221149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221022102221147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110511051110574 + 110511051110575.

It is an arithmetic number, because the mean of its divisors is an integer number (110511051110575).

Almost surely, 2221022102221149 is an apocalyptic number.

It is an amenable number.

221022102221149 is a deficient number, since it is larger than the sum of its proper divisors (1).

221022102221149 is an equidigital number, since it uses as much as digits as its factorization.

221022102221149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 221022102221149 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred two million, two hundred twenty-one thousand, one hundred forty-nine".