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221225940180901 is a prime number
BaseRepresentation
bin110010010011010000101101…
…100101000101111110100101
31002000021222211010211101202101
4302103100231211011332211
5212444031211141242101
62102301443252212101
764412022013053145
oct6223205545057645
91060258733741671
10221225940180901
116454243797a307
122098b09b90a031
1396596940b8486
143c8b56d56c925
151a898db0ea401
hexc9342d945fa5

221225940180901 has 2 divisors, whose sum is σ = 221225940180902. Its totient is φ = 221225940180900.

The previous prime is 221225940180851. The next prime is 221225940180929. The reversal of 221225940180901 is 109081049522122.

221225940180901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219855052800100 + 1370887380801 = 14827510^2 + 1170849^2 .

It is a cyclic number.

It is not a de Polignac number, because 221225940180901 - 219 = 221225939656613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221225940184901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110612970090450 + 110612970090451.

It is an arithmetic number, because the mean of its divisors is an integer number (110612970090451).

Almost surely, 2221225940180901 is an apocalyptic number.

It is an amenable number.

221225940180901 is a deficient number, since it is larger than the sum of its proper divisors (1).

221225940180901 is an equidigital number, since it uses as much as digits as its factorization.

221225940180901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 221225940180901 in words is "two hundred twenty-one trillion, two hundred twenty-five billion, nine hundred forty million, one hundred eighty thousand, nine hundred one".