Search a number
-
+
10023976801 is a prime number
BaseRepresentation
bin10010101010111100…
…11011111101100001
3221212120212210010001
421111132123331201
5131012114224201
64334400340001
7503255253106
oct112536337541
927776783101
1010023976801
114284301153
121b39014601
13c39963a27
146b1404aad
153da047301
hex25579bf61

10023976801 has 2 divisors, whose sum is σ = 10023976802. Its totient is φ = 10023976800.

The previous prime is 10023976783. The next prime is 10023976811. The reversal of 10023976801 is 10867932001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8050396176 + 1973580625 = 89724^2 + 44425^2 .

It is a cyclic number.

It is not a de Polignac number, because 10023976801 - 29 = 10023976289 is a prime.

It is a super-2 number, since 2×100239768012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10023976811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011988400 + 5011988401.

It is an arithmetic number, because the mean of its divisors is an integer number (5011988401).

Almost surely, 210023976801 is an apocalyptic number.

It is an amenable number.

10023976801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10023976801 is an equidigital number, since it uses as much as digits as its factorization.

10023976801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 10023976801 in words is "ten billion, twenty-three million, nine hundred seventy-six thousand, eight hundred one".