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221202011022193 is a prime number
BaseRepresentation
bin110010010010111010011011…
…010010100110001101110001
31002000012201001110220012001001
4302102322123102212031301
5212443133204310202233
62102242445003242001
764410214020422065
oct6222723322461561
91060181043805031
10221202011022193
1164533278552193
1220986521b19301
13965734c693876
143c8a33d4d3aa5
151a88e8a44e27d
hexc92e9b4a6371

221202011022193 has 2 divisors, whose sum is σ = 221202011022194. Its totient is φ = 221202011022192.

The previous prime is 221202011022143. The next prime is 221202011022203. The reversal of 221202011022193 is 391220110202122.

221202011022193 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., 216695828830464 + 4506182191729 = 14720592^2 + 2122777^2 .

It is a cyclic number.

It is not a de Polignac number, because 221202011022193 - 29 = 221202011021681 is a prime.

It is not a weakly prime, because it can be changed into another prime (221202011022133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110601005511096 + 110601005511097.

It is an arithmetic number, because the mean of its divisors is an integer number (110601005511097).

Almost surely, 2221202011022193 is an apocalyptic number.

It is an amenable number.

221202011022193 is a deficient number, since it is larger than the sum of its proper divisors (1).

221202011022193 is an equidigital number, since it uses as much as digits as its factorization.

221202011022193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 221202011022193 in words is "two hundred twenty-one trillion, two hundred two billion, eleven million, twenty-two thousand, one hundred ninety-three".