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313200018 = 23217400001
BaseRepresentation
bin10010101010110…
…000110110010010
3210211100012122200
4102222300312102
51120134400033
651024544030
710522104405
oct2252606622
9724305580
10313200018
1115087a89a
1288a82016
134cb70071
142d84bd3c
151c76a013
hex12ab0d92

313200018 has 12 divisors (see below), whose sum is σ = 678600078. Its totient is φ = 104400000.

The previous prime is 313200011. The next prime is 313200023. The reversal of 313200018 is 810002313.

313200018 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 only one way, i.e., 256544289 + 56655729 = 16017^2 + 7527^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17400001 = 313200018 / (3 + 1 + 3 + 2 + 0 + 0 + 0 + 1 + 8).

It is not an unprimeable number, because it can be changed into a prime (313200011) by changing a digit.

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, 8699983 + ... + 8700018.

Almost surely, 2313200018 is an apocalyptic number.

313200018 is an abundant number, since it is smaller than the sum of its proper divisors (365400060).

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

313200018 is a wasteful number, since it uses less digits than its factorization.

313200018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17400009 (or 17400006 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 313200018 is about 17697.4579530508. The cubic root of 313200018 is about 679.1107305876.

The spelling of 313200018 in words is "three hundred thirteen million, two hundred thousand, eighteen".

Divisors: 1 2 3 6 9 18 17400001 34800002 52200003 104400006 156600009 313200018