Search a number
-
+
23132113313 is a prime number
BaseRepresentation
bin10101100010110010…
…000000100110100001
32012201010011002222112
4111202302000212201
5334333310111223
614343213245105
71446143501411
oct254262004641
965633132875
1023132113313
1198a0525121
124596a93795
13224856781a
14119627c641
15905c09778
hex562c809a1

23132113313 has 2 divisors, whose sum is σ = 23132113314. Its totient is φ = 23132113312.

The previous prime is 23132113309. The next prime is 23132113321. The reversal of 23132113313 is 31331123132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14714417809 + 8417695504 = 121303^2 + 91748^2 .

It is a cyclic number.

It is not a de Polignac number, because 23132113313 - 22 = 23132113309 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 (23132113013) 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, 11566056656 + 11566056657.

It is an arithmetic number, because the mean of its divisors is an integer number (11566056657).

Almost surely, 223132113313 is an apocalyptic number.

It is an amenable number.

23132113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23132113313 is an equidigital number, since it uses as much as digits as its factorization.

23132113313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 23.

Adding to 23132113313 its reverse (31331123132), we get a palindrome (54463236445).

The spelling of 23132113313 in words is "twenty-three billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred thirteen".