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312131133 = 327925557
BaseRepresentation
bin10010100110101…
…011111000111101
3210202022220102100
4102212223320331
51114401144013
650550015313
710510033206
oct2246537075
9722286370
10312131133
1115020a816
1288647539
134c8876a2
142d6505ad
151c608473
hex129abe3d

312131133 has 18 divisors (see below), whose sum is σ = 456717534. Its totient is φ = 205416432.

The previous prime is 312131119. The next prime is 312131143. The reversal of 312131133 is 331131213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 307581444 + 4549689 = 17538^2 + 2133^2 .

It is not a de Polignac number, because 312131133 - 210 = 312130109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131143) 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 17 ways as a sum of consecutive naturals, for example, 53391 + ... + 58947.

Almost surely, 2312131133 is an apocalyptic number.

It is an amenable number.

312131133 is a deficient number, since it is larger than the sum of its proper divisors (144586401).

312131133 is an equidigital number, since it uses as much as digits as its factorization.

312131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721 (or 5639 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 312131133 is about 17667.2333148119. The cubic root of 312131133 is about 678.3372966034.

Adding to 312131133 its reverse (331131213), we get a palindrome (643262346).

The spelling of 312131133 in words is "three hundred twelve million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 79 237 711 5557 6241 16671 18723 50013 56169 439003 1317009 3951027 34681237 104043711 312131133