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23112121313 is a prime number
BaseRepresentation
bin10101100001100101…
…101111101111100001
32012122201112102010002
4111201211233233201
5334313200340223
614341220545345
71445511534611
oct254145575741
965581472102
1023112121313
11989020a906
124590252255
132244387c38
141193756a41
159040aae28
hex56196fbe1

23112121313 has 2 divisors, whose sum is σ = 23112121314. Its totient is φ = 23112121312.

The previous prime is 23112121261. The next prime is 23112121337. The reversal of 23112121313 is 31312121132.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19613162209 + 3498959104 = 140047^2 + 59152^2 .

It is a cyclic number.

It is not a de Polignac number, because 23112121313 - 28 = 23112121057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (23112121913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11556060656 + 11556060657.

It is an arithmetic number, because the mean of its divisors is an integer number (11556060657).

Almost surely, 223112121313 is an apocalyptic number.

It is an amenable number.

23112121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23112121313 is an equidigital number, since it uses as much as digits as its factorization.

23112121313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 20.

Adding to 23112121313 its reverse (31312121132), we get a palindrome (54424242445).

The spelling of 23112121313 in words is "twenty-three billion, one hundred twelve million, one hundred twenty-one thousand, three hundred thirteen".