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313102224 = 24322174321
BaseRepresentation
bin10010101010011…
…000111110010000
3210211011020111200
4102222120332100
51120123232344
651022511200
710521216321
oct2252307620
9724136450
10313102224
11150813376
1288a35500
134cb376b6
142d824448
151c74b069
hex12a98f90

313102224 has 30 divisors (see below), whose sum is σ = 876251766. Its totient is φ = 104367360.

The previous prime is 313102213. The next prime is 313102259. The reversal of 313102224 is 422201313.

It can be written as a sum of positive squares in only one way, i.e., 296941824 + 16160400 = 17232^2 + 4020^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313102197 and 313102206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1087017 + ... + 1087304.

Almost surely, 2313102224 is an apocalyptic number.

It is an amenable number.

313102224 is an abundant number, since it is smaller than the sum of its proper divisors (563149542).

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

313102224 is a wasteful number, since it uses less digits than its factorization.

313102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174335 (or 2174326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313102224 is about 17694.6947981591. The cubic root of 313102224 is about 679.0400410766.

Adding to 313102224 its reverse (422201313), we get a palindrome (735303537).

The spelling of 313102224 in words is "three hundred thirteen million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2174321 4348642 6522963 8697284 13045926 17394568 19568889 26091852 34789136 39137778 52183704 78275556 104367408 156551112 313102224