Search a number
-
+
23220231313 is a prime number
BaseRepresentation
bin10101101000000010…
…001001110010010001
32012221020221222011011
4111220002021302101
5340023334400223
614400042050521
71451263465246
oct255002116221
965836858134
1023220231313
119936240514
1246004a9a41
1322608aac56
1411a3c595cd
1590d81380d
hex568089c91

23220231313 has 2 divisors, whose sum is σ = 23220231314. Its totient is φ = 23220231312.

The previous prime is 23220231311. The next prime is 23220231343. The reversal of 23220231313 is 31313202232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17633715264 + 5586516049 = 132792^2 + 74743^2 .

It is a cyclic number.

It is not a de Polignac number, because 23220231313 - 21 = 23220231311 is a prime.

Together with 23220231311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (23220231311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11610115656 + 11610115657.

It is an arithmetic number, because the mean of its divisors is an integer number (11610115657).

Almost surely, 223220231313 is an apocalyptic number.

It is an amenable number.

23220231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23220231313 is an equidigital number, since it uses as much as digits as its factorization.

23220231313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23220231313 its reverse (31313202232), we get a palindrome (54533433545).

The spelling of 23220231313 in words is "twenty-three billion, two hundred twenty million, two hundred thirty-one thousand, three hundred thirteen".