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23022121313 is a prime number
BaseRepresentation
bin10101011100001110…
…011011000101100001
32012102110011221022202
4111130032123011201
5334122130340223
614324243542545
71443336542132
oct253416330541
965373157282
1023022121313
119844429544
12456608aa55
13222b835cb9
141185809c89
158eb22e428
hex55c39b161

23022121313 has 2 divisors, whose sum is σ = 23022121314. Its totient is φ = 23022121312.

The previous prime is 23022121289. The next prime is 23022121319. The reversal of 23022121313 is 31312122032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22913482384 + 108638929 = 151372^2 + 10423^2 .

It is a cyclic number.

It is not a de Polignac number, because 23022121313 - 224 = 23005344097 is a prime.

It is not a weakly prime, because it can be changed into another prime (23022121319) 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, 11511060656 + 11511060657.

It is an arithmetic number, because the mean of its divisors is an integer number (11511060657).

Almost surely, 223022121313 is an apocalyptic number.

It is an amenable number.

23022121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23022121313 is an equidigital number, since it uses as much as digits as its factorization.

23022121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 23022121313 its reverse (31312122032), we get a palindrome (54334243345).

The spelling of 23022121313 in words is "twenty-three billion, twenty-two million, one hundred twenty-one thousand, three hundred thirteen".