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312123933 = 32113152767
BaseRepresentation
bin10010100110101…
…010001000011101
3210202022112112200
4102212222020131
51114400431213
650545522113
710510003212
oct2246521035
9722275480
10312123933
11150205370
1288643339
134c884324
142d64bb09
151c606273
hex129aa21d

312123933 has 12 divisors (see below), whose sum is σ = 491831808. Its totient is φ = 189165960.

The previous prime is 312123923. The next prime is 312123947. The reversal of 312123933 is 339321213.

It is not a de Polignac number, because 312123933 - 25 = 312123901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312123897 and 312123906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312123923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1576285 + ... + 1576482.

It is an arithmetic number, because the mean of its divisors is an integer number (40985984).

Almost surely, 2312123933 is an apocalyptic number.

312123933 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312123933 is a deficient number, since it is larger than the sum of its proper divisors (179707875).

312123933 is a wasteful number, since it uses less digits than its factorization.

312123933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152784 (or 3152781 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 312123933 is about 17667.0295465876. The cubic root of 312123933 is about 678.3320807763.

The spelling of 312123933 in words is "three hundred twelve million, one hundred twenty-three thousand, nine hundred thirty-three".

Divisors: 1 3 9 11 33 99 3152767 9458301 28374903 34680437 104041311 312123933