Search a number
-
+
123313317973 is a prime number
BaseRepresentation
bin111001011011000001…
…0111110100001010101
3102210021220202121021221
41302312002332201111
54010021202133343
6132352132210341
711623550623366
oct1626602764125
9383256677257
10123313317973
114832a175a3a
121ba954699b1
13b822780551
145d7b3cbb6d
15331acd95ed
hex1cb60be855

123313317973 has 2 divisors, whose sum is σ = 123313317974. Its totient is φ = 123313317972.

The previous prime is 123313317947. The next prime is 123313318043. The reversal of 123313317973 is 379713313321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109380348529 + 13932969444 = 330727^2 + 118038^2 .

It is an emirp because it is prime and its reverse (379713313321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123313317973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123313317923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656658986 + 61656658987.

It is an arithmetic number, because the mean of its divisors is an integer number (61656658987).

Almost surely, 2123313317973 is an apocalyptic number.

It is an amenable number.

123313317973 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313317973 is an equidigital number, since it uses as much as digits as its factorization.

123313317973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 214326, while the sum is 43.

The spelling of 123313317973 in words is "one hundred twenty-three billion, three hundred thirteen million, three hundred seventeen thousand, nine hundred seventy-three".