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221122211121193 is a prime number
BaseRepresentation
bin110010010001110000000110…
…110110001000100000101001
31001222221002002002022012021011
4302101300012312020200221
5212440331242021334233
62102142050314343521
764401360345436354
oct6221600666104051
91058832062265234
10221122211121193
1164502448596488
1220972b7112aba1
13964c972b4c135
143c8652d16529b
151a86d698090cd
hexc91c06d88829

221122211121193 has 2 divisors, whose sum is σ = 221122211121194. Its totient is φ = 221122211121192.

The previous prime is 221122211121181. The next prime is 221122211121223. The reversal of 221122211121193 is 391121112221122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200635978147609 + 20486232973584 = 14164603^2 + 4526172^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221122211121193 is a prime.

It is a super-2 number, since 2×2211222111211932 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221122211121593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561105560596 + 110561105560597.

It is an arithmetic number, because the mean of its divisors is an integer number (110561105560597).

Almost surely, 2221122211121193 is an apocalyptic number.

It is an amenable number.

221122211121193 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122211121193 is an equidigital number, since it uses as much as digits as its factorization.

221122211121193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 31.

The spelling of 221122211121193 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred ninety-three".