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313712010 = 232518672
BaseRepresentation
bin10010101100101…
…101110110001010
3210212022012222100
4102230231312022
51120302241020
651043534230
710526336163
oct2254556612
9725265870
10313712010
1115109a527
128908a376
134ccbc111
142d94276a
151c81ba90
hex12b2dd8a

313712010 has 36 divisors (see below), whose sum is σ = 816088338. Its totient is φ = 83611728.

The previous prime is 313711997. The next prime is 313712017. The reversal of 313712010 is 10217313.

It can be written as a sum of positive squares in only one way, i.e., 282340809 + 31371201 = 16803^2 + 5601^2 .

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

It is not an unprimeable number, because it can be changed into a prime (313712017) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 167097 + ... + 168963.

Almost surely, 2313712010 is an apocalyptic number.

313712010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313712010 is an abundant number, since it is smaller than the sum of its proper divisors (502376328).

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

313712010 is an equidigital number, since it uses as much as digits as its factorization.

313712010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 313712010 is about 17711.9171746031. The cubic root of 313712010 is about 679.4805794065.

Adding to 313712010 its reverse (10217313), we get a palindrome (323929323).

The spelling of 313712010 in words is "three hundred thirteen million, seven hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1867 3734 5601 9335 11202 16803 18670 28005 33606 56010 84015 168030 3485689 6971378 10457067 17428445 20914134 31371201 34856890 52285335 62742402 104570670 156856005 313712010