314012100 has 144 divisors (see below), whose sum is σ = 1004185728. Its totient is φ = 75356160.

The previous prime is 314012063. The next prime is 314012141. The reversal of 314012100 is 1210413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115962 + ... + 118638.

It is an arithmetic number, because the mean of its divisors is an integer number (6973512).

Almost surely, 2^314012100 is an apocalyptic number.

314012100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502092864).

314012100 is an abundant number, since it is smaller than the sum of its proper divisors (690173628).

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

314012100 is a wasteful number, since it uses less digits than its factorization.

314012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 314012100 is about 17720.3865646323. The cubic root of 314012100 is about 679.6971690790.

Adding to 314012100 its reverse (1210413), we get a palindrome (315222513).

The spelling of 314012100 in words is "three hundred fourteen million, twelve thousand, one hundred".