314010112 has 120 divisors (see below), whose sum is σ = 718882560. Its totient is φ = 136581120.

The previous prime is 314010097. The next prime is 314010113. The reversal of 314010112 is 211010413.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 314010092 and 314010101.

It is not an unprimeable number, because it can be changed into a prime (314010113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1643937 + ... + 1644127.

It is an arithmetic number, because the mean of its divisors is an integer number (5990688).

Almost surely, 2^314010112 is an apocalyptic number.

314010112 is a gapful number since it is divisible by the number (32) 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 314010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359441280).

314010112 is an abundant number, since it is smaller than the sum of its proper divisors (404872448).

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

314010112 is a wasteful number, since it uses less digits than its factorization.

314010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 314010112 is about 17720.3304709591. The cubic root of 314010112 is about 679.6957346960.

Adding to 314010112 its reverse (211010413), we get a palindrome (525020525).

The spelling of 314010112 in words is "three hundred fourteen million, ten thousand, one hundred twelve".