314102434100 has 144 divisors (see below), whose sum is σ = 840324215808. Its totient is φ = 99238901760.

The previous prime is 314102434097. The next prime is 314102434123. The reversal of 314102434100 is 1434201413.

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, 5367197 + ... + 5425403.

It is an arithmetic number, because the mean of its divisors is an integer number (5835584832).

Almost surely, 2^314102434100 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 314102434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420162107904).

314102434100 is an abundant number, since it is smaller than the sum of its proper divisors (526221781708).

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

314102434100 is a wasteful number, since it uses less digits than its factorization.

314102434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58834 (or 58827 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 314102434100 its reverse (1434201413), we get a palindrome (315536635513).

The spelling of 314102434100 in words is "three hundred fourteen billion, one hundred two million, four hundred thirty-four thousand, one hundred".