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222112100211137 is a prime number
BaseRepresentation
bin110010100000001010000000…
…110101010101100111000001
31002010102201011011021011121222
4302200022000311111213001
5213103041040123224022
62104220520141124425
764533032621041463
oct6240120065254701
91063381134234558
10222112100211137
1164854238133a64
1220ab2990b59715
1396c2109466b56
143cbc3d6818133
151aa29a35a5242
hexca0280d559c1

222112100211137 has 2 divisors, whose sum is σ = 222112100211138. Its totient is φ = 222112100211136.

The previous prime is 222112100211101. The next prime is 222112100211139. The reversal of 222112100211137 is 731112001211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219815287216561 + 2296812994576 = 14826169^2 + 1515524^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112100211137 - 236 = 222043380734401 is a prime.

Together with 222112100211139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (222112100211139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056050105568 + 111056050105569.

It is an arithmetic number, because the mean of its divisors is an integer number (111056050105569).

Almost surely, 2222112100211137 is an apocalyptic number.

It is an amenable number.

222112100211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112100211137 is an equidigital number, since it uses as much as digits as its factorization.

222112100211137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 222112100211137 its reverse (731112001211222), we get a palindrome (953224101422359).

The spelling of 222112100211137 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred million, two hundred eleven thousand, one hundred thirty-seven".