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11221112220193 is a prime number
BaseRepresentation
bin1010001101001001111001…
…1010000110101000100001
31110201201122121022021100001
42203102132122012220201
52432321314212021233
635510524025500001
72235461423064601
oct243223632065041
943651577267301
1011221112220193
113636935350677
121312887941601
136351b9689ac5
142ab16753cc01
15146d4834627d
hexa349e686a21

11221112220193 has 2 divisors, whose sum is σ = 11221112220194. Its totient is φ = 11221112220192.

The previous prime is 11221112220191. The next prime is 11221112220217. The reversal of 11221112220193 is 39102221112211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10978805111184 + 242307109009 = 3313428^2 + 492247^2 .

It is a cyclic number.

It is not a de Polignac number, because 11221112220193 - 21 = 11221112220191 is a prime.

Together with 11221112220191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11221112220191) 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, 5610556110096 + 5610556110097.

It is an arithmetic number, because the mean of its divisors is an integer number (5610556110097).

Almost surely, 211221112220193 is an apocalyptic number.

It is an amenable number.

11221112220193 is a deficient number, since it is larger than the sum of its proper divisors (1).

11221112220193 is an equidigital number, since it uses as much as digits as its factorization.

11221112220193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 11221112220193 in words is "eleven trillion, two hundred twenty-one billion, one hundred twelve million, two hundred twenty thousand, one hundred ninety-three".