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21160616401 is a prime number
BaseRepresentation
bin10011101101010001…
…010110000111010001
32000121201102200122101
4103231101112013101
5321314104211101
613415425240401
71346244162121
oct235521260721
960551380571
1021160616401
118a79686331
124126793101
131cc2c8ccc2
14104a4c2c81
1583cac7401
hex4ed4561d1

21160616401 has 2 divisors, whose sum is σ = 21160616402. Its totient is φ = 21160616400.

The previous prime is 21160616341. The next prime is 21160616459. The reversal of 21160616401 is 10461606112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14374811025 + 6785805376 = 119895^2 + 82376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21160616401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21160616401.

It is not a weakly prime, because it can be changed into another prime (21160616801) 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, 10580308200 + 10580308201.

It is an arithmetic number, because the mean of its divisors is an integer number (10580308201).

Almost surely, 221160616401 is an apocalyptic number.

It is an amenable number.

21160616401 is a deficient number, since it is larger than the sum of its proper divisors (1).

21160616401 is an equidigital number, since it uses as much as digits as its factorization.

21160616401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 21160616401 in words is "twenty-one billion, one hundred sixty million, six hundred sixteen thousand, four hundred one".