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312131244305 = 5201293101309
BaseRepresentation
bin1001000101011000111…
…10001101000100010001
31002211122222000002102202
410202230132031010101
520103221044304210
6355220251452545
731356621541466
oct4425436150421
91084588002382
10312131244305
11110412a4a741
12505b0157155
132358422638a
141117036566d
1581bc7069a5
hex48ac78d111

312131244305 has 8 divisors (see below), whose sum is σ = 374576221800. Its totient is φ = 249692509696.

The previous prime is 312131244301. The next prime is 312131244319. The reversal of 312131244305 is 503442131213.

It can be written as a sum of positive squares in 4 ways, for example, as 170658219664 + 141473024641 = 413108^2 + 376129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312131244305 - 22 = 312131244301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312131244301) 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, 1450010 + ... + 1651299.

It is an arithmetic number, because the mean of its divisors is an integer number (46822027725).

Almost surely, 2312131244305 is an apocalyptic number.

It is an amenable number.

312131244305 is a deficient number, since it is larger than the sum of its proper divisors (62444977495).

312131244305 is a wasteful number, since it uses less digits than its factorization.

312131244305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121443.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 312131244305 its reverse (503442131213), we get a palindrome (815573375518).

The spelling of 312131244305 in words is "three hundred twelve billion, one hundred thirty-one million, two hundred forty-four thousand, three hundred five".

Divisors: 1 5 20129 100645 3101309 15506545 62426248861 312131244305