314234021100 has 144 divisors (see below), whose sum is σ = 942779970720. Its totient is φ = 80713113600.

The previous prime is 314234021099. The next prime is 314234021113. The reversal of 314234021100 is 1120432413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3619804 + ... + 3705596.

It is an arithmetic number, because the mean of its divisors is an integer number (6547083130).

Almost surely, 2^314234021100 is an apocalyptic number.

314234021100 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 314234021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471389985360).

314234021100 is an abundant number, since it is smaller than the sum of its proper divisors (628545949620).

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

314234021100 is a wasteful number, since it uses less digits than its factorization.

314234021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86260 (or 86253 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 314234021100 its reverse (1120432413), we get a palindrome (315354453513).

The spelling of 314234021100 in words is "three hundred fourteen billion, two hundred thirty-four million, twenty-one thousand, one hundred".