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221122212000169 is a prime number
BaseRepresentation
bin110010010001110000000110…
…111001011111000110101001
31001222221002002010221211222211
4302101300012321133012221
5212440331242233001134
62102142050345245121
764401360356060104
oct6221600671370651
91058832063854884
10221122212000169
1164502449036907
1220972b714937a1
13964c97309923c
143c8652d31373b
151a86d6992e764
hexc91c06e5f1a9

221122212000169 has 2 divisors, whose sum is σ = 221122212000170. Its totient is φ = 221122212000168.

The previous prime is 221122212000133. The next prime is 221122212000229. The reversal of 221122212000169 is 961000212221122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196581710977600 + 24540501022569 = 14020760^2 + 4953837^2 .

It is a cyclic number.

It is not a de Polignac number, because 221122212000169 - 213 = 221122211991977 is a prime.

It is a super-3 number, since 3×2211222120001693 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 221122212000169.

It is not a weakly prime, because it can be changed into another prime (221122212009169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561106000084 + 110561106000085.

It is an arithmetic number, because the mean of its divisors is an integer number (110561106000085).

Almost surely, 2221122212000169 is an apocalyptic number.

It is an amenable number.

221122212000169 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122212000169 is an equidigital number, since it uses as much as digits as its factorization.

221122212000169 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 31.

The spelling of 221122212000169 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred sixty-nine", and thus it is an aban number.