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313330212 = 2232132772417
BaseRepresentation
bin10010101011010…
…000101000100100
3210211120211020200
4102223100220210
51120203031322
651031430500
710523156106
oct2253205044
9724524220
10313330212
11150959698
1288b25430
134cbb73c0
142d883576
151c7938ac
hex12ad0a24

313330212 has 72 divisors (see below), whose sum is σ = 856387896. Its totient is φ = 96021504.

The previous prime is 313330169. The next prime is 313330261. The reversal of 313330212 is 212033313.

313330212 is a `hidden beast` number, since 313 + 330 + 21 + 2 = 666.

313330212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32901696 + 280428516 = 5736^2 + 16746^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128428 + ... + 130844.

Almost surely, 2313330212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313330212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428193948).

313330212 is an abundant number, since it is smaller than the sum of its proper divisors (543057684).

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

313330212 is a wasteful number, since it uses less digits than its factorization.

313330212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313330212 is about 17701.1358957554. The cubic root of 313330212 is about 679.2048173149.

Adding to 313330212 its reverse (212033313), we get a palindrome (525363525).

The spelling of 313330212 in words is "three hundred thirteen million, three hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 277 468 554 831 1108 1662 2417 2493 3324 3601 4834 4986 7202 7251 9668 9972 10803 14404 14502 21606 21753 29004 31421 32409 43212 43506 62842 64818 87012 94263 125684 129636 188526 282789 377052 565578 669509 1131156 1339018 2008527 2678036 4017054 6025581 8034108 8703617 12051162 17407234 24102324 26110851 34814468 52221702 78332553 104443404 156665106 313330212