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123313204233 = 3234841393257
BaseRepresentation
bin111001011011000001…
…0100010110000001001
3102210021220112211021100
41302312002202300021
54010021140013413
6132352125532013
711623546640652
oct1626602426011
9383256484240
10123313204233
114832a0a853a
121ba95414009
13b82274084b
145d7b39c529
15331acb5a73
hex1cb60a2c09

123313204233 has 12 divisors (see below), whose sum is σ = 178124638068. Its totient is φ = 82206234240.

The previous prime is 123313204199. The next prime is 123313204241. The reversal of 123313204233 is 332402313321.

123313204233 is a `hidden beast` number, since 1 + 2 + 331 + 320 + 4 + 2 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38625220089 + 84687984144 = 196533^2 + 291012^2 .

It is not a de Polignac number, because 123313204233 - 212 = 123313200137 is a prime.

It is a super-2 number, since 2×1233132042332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123313204197 and 123313204206.

It is not an unprimeable number, because it can be changed into a prime (123313204633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116941 + ... + 510197.

It is an arithmetic number, because the mean of its divisors is an integer number (14843719839).

Almost surely, 2123313204233 is an apocalyptic number.

It is an amenable number.

123313204233 is a deficient number, since it is larger than the sum of its proper divisors (54811433835).

123313204233 is a wasteful number, since it uses less digits than its factorization.

123313204233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428104 (or 428101 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 123313204233 its reverse (332402313321), we get a palindrome (455715517554).

The spelling of 123313204233 in words is "one hundred twenty-three billion, three hundred thirteen million, two hundred four thousand, two hundred thirty-three".

Divisors: 1 3 9 34841 104523 313569 393257 1179771 3539313 13701467137 41104401411 123313204233