314001100 has 72 divisors (see below), whose sum is σ = 781061120. Its totient is φ = 107334720.

The previous prime is 314001091. The next prime is 314001109. The reversal of 314001100 is 1100413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314001091) and next prime (314001109).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (314001109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424531 + ... + 425269.

Almost surely, 2^314001100 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 314001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390530560).

314001100 is an abundant number, since it is smaller than the sum of its proper divisors (467060020).

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

314001100 is a wasteful number, since it uses less digits than its factorization.

314001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 314001100 is about 17720.0761849378. The cubic root of 314001100 is about 679.6892322764.

Adding to 314001100 its reverse (1100413), we get a palindrome (315101513).

The spelling of 314001100 in words is "three hundred fourteen million, one thousand, one hundred".