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123323131331 = 17347130116069
BaseRepresentation
bin111001011011010100…
…0011010010111000011
3102210022121020011200122
41302312220122113003
54010031210200311
6132353122410455
711624030214641
oct1626650322703
9383277204618
10123323131331
1148334768954
121ba98800a2b
13b82480817a
145d7c824191
15331bac70db
hex1cb6a1a5c3

123323131331 has 16 divisors (see below), whose sum is σ = 131062548960. Its totient is φ = 115638182400.

The previous prime is 123323131307. The next prime is 123323131343. The reversal of 123323131331 is 133131323321.

It is a cyclic number.

It is not a de Polignac number, because 123323131331 - 226 = 123256022467 is a prime.

It is a super-2 number, since 2×1233231313312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123323131331.

It is not an unprimeable number, because it can be changed into a prime (123323131231) 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 in 15 ways as a sum of consecutive naturals, for example, 7666565 + ... + 7682633.

It is an arithmetic number, because the mean of its divisors is an integer number (8191409310).

Almost surely, 2123323131331 is an apocalyptic number.

123323131331 is a deficient number, since it is larger than the sum of its proper divisors (7739417629).

123323131331 is a wasteful number, since it uses less digits than its factorization.

123323131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17734.

The product of its digits is 2916, while the sum is 26.

Adding to 123323131331 its reverse (133131323321), we get a palindrome (256454454652).

The spelling of 123323131331 in words is "one hundred twenty-three billion, three hundred twenty-three million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 17 347 1301 5899 16069 22117 273173 451447 5575943 7674599 20905769 94791031 355398073 7254301843 123323131331