314312100 has 72 divisors (see below), whose sum is σ = 938773248. Its totient is φ = 81110400.

The previous prime is 314312071. The next prime is 314312137. The reversal of 314312100 is 1213413.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 314312100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7599 + ... + 26198.

Almost surely, 2^314312100 is an apocalyptic number.

314312100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314312100 is an abundant number, since it is smaller than the sum of its proper divisors (624461148).

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

314312100 is a wasteful number, since it uses less digits than its factorization.

314312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33845 (or 33838 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 314312100 is about 17728.8493704470. The cubic root of 314312100 is about 679.9135559087.

Adding to 314312100 its reverse (1213413), we get a palindrome (315525513).

The spelling of 314312100 in words is "three hundred fourteen million, three hundred twelve thousand, one hundred".