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313320132 = 223217511961
BaseRepresentation
bin10010101011001…
…110001011000100
3210211120022102100
4102223032023010
51120202221012
651031312100
710523114526
oct2253161304
9724508370
10313320132
11150952064
1288b1b630
134cbb2938
142d87da16
151c7908dc
hex12ace2c4

313320132 has 36 divisors (see below), whose sum is σ = 838593756. Its totient is φ = 98296320.

The previous prime is 313320113. The next prime is 313320151. The reversal of 313320132 is 231023313.

313320132 is a `hidden beast` number, since 313 + 320 + 1 + 32 = 666.

313320132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313320113) and next prime (313320151).

It can be written as a sum of positive squares in 2 ways, for example, as 130096836 + 183223296 = 11406^2 + 13536^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255369 + ... + 256592.

It is an arithmetic number, because the mean of its divisors is an integer number (23294271).

Almost surely, 2313320132 is an apocalyptic number.

It is an amenable number.

313320132 is an abundant number, since it is smaller than the sum of its proper divisors (525273624).

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

313320132 is a wasteful number, since it uses less digits than its factorization.

313320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511988 (or 511983 counting only the distinct ones).

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

The square root of 313320132 is about 17700.8511659750. The cubic root of 313320132 is about 679.1975337764.

Adding to 313320132 its reverse (231023313), we get a palindrome (544343445).

The spelling of 313320132 in words is "three hundred thirteen million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 511961 1023922 1535883 2047844 3071766 4607649 6143532 8703337 9215298 17406674 18430596 26110011 34813348 52220022 78330033 104440044 156660066 313320132