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312131223 = 3237937331
BaseRepresentation
bin10010100110101…
…011111010010111
3210202022220112200
4102212223322113
51114401144343
650550015543
710510033365
oct2246537227
9722286480
10312131223
1115020a898
12886475b3
134c887741
142d650635
151c6084d3
hex129abe97

312131223 has 12 divisors (see below), whose sum is σ = 463042008. Its totient is φ = 202463280.

The previous prime is 312131207. The next prime is 312131233. The reversal of 312131223 is 322131213.

312131223 is a `hidden beast` number, since 312 + 131 + 223 = 666.

It is not a de Polignac number, because 312131223 - 24 = 312131207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312131196 and 312131205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131233) 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 11 ways as a sum of consecutive naturals, for example, 468333 + ... + 468998.

It is an arithmetic number, because the mean of its divisors is an integer number (38586834).

Almost surely, 2312131223 is an apocalyptic number.

312131223 is a deficient number, since it is larger than the sum of its proper divisors (150910785).

312131223 is a wasteful number, since it uses less digits than its factorization.

312131223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937374 (or 937371 counting only the distinct ones).

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

The square root of 312131223 is about 17667.2358618998. The cubic root of 312131223 is about 678.3373618007.

Adding to 312131223 its reverse (322131213), we get a palindrome (634262436).

The spelling of 312131223 in words is "three hundred twelve million, one hundred thirty-one thousand, two hundred twenty-three".

Divisors: 1 3 9 37 111 333 937331 2811993 8435979 34681247 104043741 312131223