Search a number
-
+
10023414209 is a prime number
BaseRepresentation
bin10010101010111000…
…10010100111000001
3221212112211012101022
421111130102213001
5131011443223314
64334340315225
7503250420644
oct112534224701
927775735338
1010023414209
114283a574a6
121b389a2b15
13c397c7933
146b12d9a5b
153d9e8578e
hex2557129c1

10023414209 has 2 divisors, whose sum is σ = 10023414210. Its totient is φ = 10023414208.

The previous prime is 10023414187. The next prime is 10023414211. The reversal of 10023414209 is 90241432001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5962156225 + 4061257984 = 77215^2 + 63728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10023414209 is a prime.

Together with 10023414211, 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 (10023414259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011707104 + 5011707105.

It is an arithmetic number, because the mean of its divisors is an integer number (5011707105).

Almost surely, 210023414209 is an apocalyptic number.

It is an amenable number.

10023414209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10023414209 is an equidigital number, since it uses as much as digits as its factorization.

10023414209 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 26.

The spelling of 10023414209 in words is "ten billion, twenty-three million, four hundred fourteen thousand, two hundred nine".