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21238080408241 is a prime number
BaseRepresentation
bin1001101010000111000000…
…01111010000101010110001
32210012100012100011210021121
410311003200033100222301
510240431042041030431
6113100350042022241
74321254300610204
oct465034017205261
983170170153247
1021238080408241
1168490237954a4
1224700ba1a7981
13bb098604aa88
14535d0002993b
1526c6b7c7a611
hex1350e03d0ab1

21238080408241 has 2 divisors, whose sum is σ = 21238080408242. Its totient is φ = 21238080408240.

The previous prime is 21238080408221. The next prime is 21238080408263. The reversal of 21238080408241 is 14280408083212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20261746703025 + 976333705216 = 4501305^2 + 988096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21238080408241 is a prime.

It is not a weakly prime, because it can be changed into another prime (21238080408221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10619040204120 + 10619040204121.

It is an arithmetic number, because the mean of its divisors is an integer number (10619040204121).

Almost surely, 221238080408241 is an apocalyptic number.

It is an amenable number.

21238080408241 is a deficient number, since it is larger than the sum of its proper divisors (1).

21238080408241 is an equidigital number, since it uses as much as digits as its factorization.

21238080408241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196608, while the sum is 43.

The spelling of 21238080408241 in words is "twenty-one trillion, two hundred thirty-eight billion, eighty million, four hundred eight thousand, two hundred forty-one".