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123312441331 is a prime number
BaseRepresentation
bin111001011010111111…
…1101000011111110011
3102210021212010001202201
41302311333220133303
54010020441110311
6132352101324031
711623540312522
oct1626577503763
9383255101681
10123312441331
1148329727342
121ba95106617
13b822534521
145d7b2404b9
15331abb49c1
hex1cb5fe87f3

123312441331 has 2 divisors, whose sum is σ = 123312441332. Its totient is φ = 123312441330.

The previous prime is 123312441269. The next prime is 123312441349. The reversal of 123312441331 is 133144213321.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 123312441331 - 229 = 122775570419 is a prime.

It is a super-2 number, since 2×1233124413312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123312441331.

It is not a weakly prime, because it can be changed into another prime (123312441631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656220665 + 61656220666.

It is an arithmetic number, because the mean of its divisors is an integer number (61656220666).

Almost surely, 2123312441331 is an apocalyptic number.

123312441331 is a deficient number, since it is larger than the sum of its proper divisors (1).

123312441331 is an equidigital number, since it uses as much as digits as its factorization.

123312441331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 28.

Adding to 123312441331 its reverse (133144213321), we get a palindrome (256456654652).

The spelling of 123312441331 in words is "one hundred twenty-three billion, three hundred twelve million, four hundred forty-one thousand, three hundred thirty-one".