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312132123 = 3447163503
BaseRepresentation
bin10010100110101…
…100001000011011
3210202022221210000
4102212230020123
51114401211443
650550024043
710510036122
oct2246541033
9722287700
10312132123
11150210536
1288648023
134c887c84
142d650ab9
151c6088d3
hex129ac21b

312132123 has 40 divisors (see below), whose sum is σ = 480066048. Its totient is φ = 202008816.

The previous prime is 312132101. The next prime is 312132143. The reversal of 312132123 is 321231213.

It is not a de Polignac number, because 312132123 - 218 = 311869979 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312132096 and 312132105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132143) 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 39 ways as a sum of consecutive naturals, for example, 620290 + ... + 620792.

Almost surely, 2312132123 is an apocalyptic number.

312132123 is a deficient number, since it is larger than the sum of its proper divisors (167933925).

312132123 is a wasteful number, since it uses less digits than its factorization.

312132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 716 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 312132123 is about 17667.2613327590. The cubic root of 312132123 is about 678.3380137733.

Adding to 312132123 its reverse (321231213), we get a palindrome (633363336).

The spelling of 312132123 in words is "three hundred twelve million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 27 47 81 141 163 423 489 503 1269 1467 1509 3807 4401 4527 7661 13203 13581 22983 23641 40743 68949 70923 81989 206847 212769 245967 620541 638307 737901 1914921 2213703 3853483 6641109 11560449 34681347 104044041 312132123