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312133113123 = 31334992287343
BaseRepresentation
bin1001000101011001001…
…01010101010100100011
31002211200002112000222020
410202230211111110203
520103222034104443
6355220355512523
731356643454106
oct4425445252443
91084602460866
10312133113123
11110414006817
12505b08b8743
132358472bba0
14111706d073d
1581bc975583
hex48ac955523

312133113123 has 16 divisors (see below), whose sum is σ = 448319424000. Its totient is φ = 192026935584.

The previous prime is 312133113121. The next prime is 312133113139. The reversal of 312133113123 is 321311331213.

It is not a de Polignac number, because 312133113123 - 21 = 312133113121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312133113093 and 312133113102.

It is not an unprimeable number, because it can be changed into a prime (312133113121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007211 + ... + 1280132.

It is an arithmetic number, because the mean of its divisors is an integer number (28019964000).

Almost surely, 2312133113123 is an apocalyptic number.

312133113123 is a deficient number, since it is larger than the sum of its proper divisors (136186310877).

312133113123 is a wasteful number, since it uses less digits than its factorization.

312133113123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290858.

The product of its digits is 972, while the sum is 24.

Adding to 312133113123 its reverse (321311331213), we get a palindrome (633444444336).

The spelling of 312133113123 in words is "three hundred twelve billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 13 39 3499 10497 45487 136461 2287343 6862029 29735459 89206377 8003413157 24010239471 104044371041 312133113123