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312000123 = 31078231181
BaseRepresentation
bin10010100110001…
…011111001111011
3210202002020201010
4102212023321323
51114333000443
650543125003
710505646231
oct2246137173
9722066633
10312000123
11150130346
12885a3763
134c83cb76
142d618951
151c5ce733
hex1298be7b

312000123 has 16 divisors (see below), whose sum is σ = 420754176. Its totient is φ = 205631520.

The previous prime is 312000097. The next prime is 312000127. The reversal of 312000123 is 321000213.

It is a happy number.

It is not a de Polignac number, because 312000123 - 220 = 310951547 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312000099 and 312000108.

It is not an unprimeable number, because it can be changed into a prime (312000127) 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, 263593 + ... + 264773.

It is an arithmetic number, because the mean of its divisors is an integer number (26297136).

Almost surely, 2312000123 is an apocalyptic number.

312000123 is a deficient number, since it is larger than the sum of its proper divisors (108754053).

312000123 is a wasteful number, since it uses less digits than its factorization.

312000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 312000123 is about 17663.5252144072. The cubic root of 312000123 is about 678.2423777308.

Adding to 312000123 its reverse (321000213), we get a palindrome (633000336).

The spelling of 312000123 in words is "three hundred twelve million, one hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 107 321 823 1181 2469 3543 88061 126367 264183 379101 971963 2915889 104000041 312000123