314110020 has 384 divisors, whose sum is σ = 1158312960. Its totient is φ = 61931520.

The previous prime is 314110007. The next prime is 314110031. The reversal of 314110020 is 20011413.

It is a happy number.

314110020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 314109978 and 314110005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7661200 + ... + 7661240.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^314110020 is an apocalyptic number.

314110020 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 314110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

314110020 is an abundant number, since it is smaller than the sum of its proper divisors (844202940).

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

314110020 is a wasteful number, since it uses less digits than its factorization.

314110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

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

The square root of 314110020 is about 17723.1492686825. The cubic root of 314110020 is about 679.7678128852.

Adding to 314110020 its reverse (20011413), we get a palindrome (334121433).

The spelling of 314110020 in words is "three hundred fourteen million, one hundred ten thousand, twenty".