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20416409201 is a prime number
BaseRepresentation
bin10011000000111010…
…011010111001110001
31221200212002001021202
4103000322122321301
5313303100043301
613213522300545
71321636420616
oct230072327161
957625061252
1020416409201
118727592461
123b594b7755
131c04a43106
14db971c50d
157e75c166b
hex4c0e9ae71

20416409201 has 2 divisors, whose sum is σ = 20416409202. Its totient is φ = 20416409200.

The previous prime is 20416409183. The next prime is 20416409203. The reversal of 20416409201 is 10290461402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14250390625 + 6166018576 = 119375^2 + 78524^2 .

It is a cyclic number.

It is not a de Polignac number, because 20416409201 - 226 = 20349300337 is a prime.

Together with 20416409203, 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 (20416409203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10208204600 + 10208204601.

It is an arithmetic number, because the mean of its divisors is an integer number (10208204601).

Almost surely, 220416409201 is an apocalyptic number.

It is an amenable number.

20416409201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20416409201 is an equidigital number, since it uses as much as digits as its factorization.

20416409201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 20416409201 in words is "twenty billion, four hundred sixteen million, four hundred nine thousand, two hundred one".