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312131144 = 23136149201
BaseRepresentation
bin10010100110101…
…011111001001000
3210202022220102202
4102212223321020
51114401144034
650550015332
710510033223
oct2246537110
9722286382
10312131144
1115020a826
1288647548
134c8876b0
142d6505ba
151c60847e
hex129abe48

312131144 has 32 divisors (see below), whose sum is σ = 640610040. Its totient is φ = 141696000.

The previous prime is 312131143. The next prime is 312131167. The reversal of 312131144 is 441131213.

It can be written as a sum of positive squares in 4 ways, for example, as 51696100 + 260435044 = 7190^2 + 16138^2 .

It is not an unprimeable number, because it can be changed into a prime (312131143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18257 + ... + 30944.

Almost surely, 2312131144 is an apocalyptic number.

It is an amenable number.

312131144 is an abundant number, since it is smaller than the sum of its proper divisors (328478896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312131144 is a wasteful number, since it uses less digits than its factorization.

312131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49281 (or 49277 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 312131144 is about 17667.2336261227. The cubic root of 312131144 is about 678.3373045719.

Adding to 312131144 its reverse (441131213), we get a palindrome (753262357).

The spelling of 312131144 in words is "three hundred twelve million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 6344 49201 98402 196804 393608 639613 1279226 2558452 3001261 5116904 6002522 12005044 24010088 39016393 78032786 156065572 312131144