Search a number
-
+
123131201311 is a prime number
BaseRepresentation
bin111001010101100110…
…0010000011100011111
3102202211020002010012101
41302223030100130133
54004133041420221
6132322104545531
711616206641126
oct1625314203437
9382736063171
10123131201311
1148246397aa8
121ba444822a7
13b7c3b18101
145d61142abd
153309d13d91
hex1cab31071f

123131201311 has 2 divisors, whose sum is σ = 123131201312. Its totient is φ = 123131201310.

The previous prime is 123131201299. The next prime is 123131201321. The reversal of 123131201311 is 113102131321.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 123131201311 - 211 = 123131199263 is a prime.

It is a super-2 number, since 2×1231312013112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123131201321) 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, 61565600655 + 61565600656.

It is an arithmetic number, because the mean of its divisors is an integer number (61565600656).

Almost surely, 2123131201311 is an apocalyptic number.

123131201311 is a deficient number, since it is larger than the sum of its proper divisors (1).

123131201311 is an equidigital number, since it uses as much as digits as its factorization.

123131201311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 123131201311 its reverse (113102131321), we get a palindrome (236233332632).

The spelling of 123131201311 in words is "one hundred twenty-three billion, one hundred thirty-one million, two hundred one thousand, three hundred eleven".