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312111320313 = 31327728891171
BaseRepresentation
bin1001000101010110100…
…10001100110011111001
31002211121120111211212010
410202223102030303321
520103200444222223
6355214300440133
731356260310162
oct4425322146371
91084546454763
10312111320313
11110402781531
12505a5549049
132358006b730
141116b85a769
1581baabd393
hex48ab48ccf9

312111320313 has 16 divisors (see below), whose sum is σ = 449777765696. Its totient is φ = 191375110080.

The previous prime is 312111320237. The next prime is 312111320321. The reversal of 312111320313 is 313023111213.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-312111320313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312111320313.

It is not an unprimeable number, because it can be changed into a prime (312111320363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14434783 + ... + 14456388.

It is an arithmetic number, because the mean of its divisors is an integer number (28111110356).

Almost surely, 2312111320313 is an apocalyptic number.

It is an amenable number.

312111320313 is a deficient number, since it is larger than the sum of its proper divisors (137666445383).

312111320313 is a wasteful number, since it uses less digits than its factorization.

312111320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28891464.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 312111320313 its reverse (313023111213), we get a palindrome (625134431526).

The spelling of 312111320313 in words is "three hundred twelve billion, one hundred eleven million, three hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 13 39 277 831 3601 10803 28891171 86673513 375585223 1126755669 8002854367 24008563101 104037106771 312111320313