313422100 has 72 divisors (see below), whose sum is σ = 719641440. Its totient is φ = 118154880.

The previous prime is 313422091. The next prime is 313422103. The reversal of 313422100 is 1224313.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313422103) 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 23 ways as a sum of consecutive naturals, for example, 556419 + ... + 556981.

It is an arithmetic number, because the mean of its divisors is an integer number (9995020).

Almost surely, 2^313422100 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 313422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359820720).

313422100 is an abundant number, since it is smaller than the sum of its proper divisors (406219340).

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

313422100 is a wasteful number, since it uses less digits than its factorization.

313422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 313422100 is about 17703.7312451359. The cubic root of 313422100 is about 679.2712059255.

Adding to 313422100 its reverse (1224313), we get a palindrome (314646413).

The spelling of 313422100 in words is "three hundred thirteen million, four hundred twenty-two thousand, one hundred".