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221122212000229 is a prime number
BaseRepresentation
bin110010010001110000000110…
…111001011111000111100101
31001222221002002010221212002001
4302101300012321133013211
5212440331242233001404
62102142050345245301
764401360356060221
oct6221600671370745
91058832063855061
10221122212000229
1164502449036961
1220972b71493831
13964c973099287
143c8652d313781
151a86d6992e7a4
hexc91c06e5f1e5

221122212000229 has 2 divisors, whose sum is σ = 221122212000230. Its totient is φ = 221122212000228.

The previous prime is 221122212000169. The next prime is 221122212000311. The reversal of 221122212000229 is 922000212221122.

221122212000229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 140657275449604 + 80464936550625 = 11859902^2 + 8970225^2 .

It is a cyclic number.

It is not a de Polignac number, because 221122212000229 - 213 = 221122211992037 is a prime.

It is a super-3 number, since 3×2211222120002293 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221122212000197 and 221122212000206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221122212003229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561106000114 + 110561106000115.

It is an arithmetic number, because the mean of its divisors is an integer number (110561106000115).

Almost surely, 2221122212000229 is an apocalyptic number.

It is an amenable number.

221122212000229 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122212000229 is an equidigital number, since it uses as much as digits as its factorization.

221122212000229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 221122212000229 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty-nine", and thus it is an aban number.