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221002222020193 is a prime number
BaseRepresentation
bin110010010000000000010110…
…111100000010011001100001
31001222111121100211122022101101
4302100000112330002121201
5212431400022314121233
62102011004051434401
764356612041056435
oct6220002674023141
91058447324568341
10221002222020193
11644665748a59a9
1220953864bb5a01
13964155ccac8a3
143c807c94589c5
151a83b957a7c7d
hexc90016f02661

221002222020193 has 2 divisors, whose sum is σ = 221002222020194. Its totient is φ = 221002222020192.

The previous prime is 221002222020169. The next prime is 221002222020253. The reversal of 221002222020193 is 391020222200122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178339678854544 + 42662543165649 = 13354388^2 + 6531657^2 .

It is a cyclic number.

It is not a de Polignac number, because 221002222020193 - 25 = 221002222020161 is a prime.

It is not a weakly prime, because it can be changed into another prime (221002222020113) 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, 110501111010096 + 110501111010097.

It is an arithmetic number, because the mean of its divisors is an integer number (110501111010097).

Almost surely, 2221002222020193 is an apocalyptic number.

It is an amenable number.

221002222020193 is a deficient number, since it is larger than the sum of its proper divisors (1).

221002222020193 is an equidigital number, since it uses as much as digits as its factorization.

221002222020193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 221002222020193 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-two million, twenty thousand, one hundred ninety-three".