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221102220202181 is a prime number
BaseRepresentation
bin110010010001011101011111…
…010010110101000011000101
31001222212011110212212021210022
4302101131133102311003011
5212440014321332432211
62102124542511504525
764400052063433553
oct6221353722650305
91058764425767708
10221102220202181
11644a4a1a1aa10a
122096b112228145
13964ab08303986
143c85594164bd3
151a86599783bdb
hexc9175f4b50c5

221102220202181 has 2 divisors, whose sum is σ = 221102220202182. Its totient is φ = 221102220202180.

The previous prime is 221102220202163. The next prime is 221102220202349. The reversal of 221102220202181 is 181202022201122.

221102220202181 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., 195062172529156 + 26040047673025 = 13966466^2 + 5102945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221102220202181 is a prime.

It is a super-2 number, since 2×2211022202021812 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221102220202181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221102220202111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110551110101090 + 110551110101091.

It is an arithmetic number, because the mean of its divisors is an integer number (110551110101091).

Almost surely, 2221102220202181 is an apocalyptic number.

It is an amenable number.

221102220202181 is a deficient number, since it is larger than the sum of its proper divisors (1).

221102220202181 is an equidigital number, since it uses as much as digits as its factorization.

221102220202181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 221102220202181 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred twenty million, two hundred two thousand, one hundred eighty-one".