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313112224314 = 23261728193069
BaseRepresentation
bin1001000111001101111…
…00010110001000111010
31002221012022220001000200
410203212330112020322
520112223212134224
6355501453343030
731423132664511
oct4434674261072
91087168801020
10313112224314
1111087676251a
1250824797a76
13236ac534216
1411224761678
1582288cc5c9
hex48e6f1623a

313112224314 has 24 divisors (see below), whose sum is σ = 679509373140. Its totient is φ = 104201579328.

The previous prime is 313112224309. The next prime is 313112224457. The reversal of 313112224314 is 413422211313.

313112224314 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 1 + 222 + 431 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 242285450625 + 70826773689 = 492225^2 + 266133^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14085429 + ... + 14107640.

Almost surely, 2313112224314 is an apocalyptic number.

313112224314 is an abundant number, since it is smaller than the sum of its proper divisors (366397148826).

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

313112224314 is a wasteful number, since it uses less digits than its factorization.

313112224314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28193694 (or 28193691 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 313112224314 its reverse (413422211313), we get a palindrome (726534435627).

The spelling of 313112224314 in words is "three hundred thirteen billion, one hundred twelve million, two hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 617 1234 1851 3702 5553 11106 28193069 56386138 84579207 169158414 253737621 507475242 17395123573 34790247146 52185370719 104370741438 156556112157 313112224314