314054022100 has 216 divisors, whose sum is σ = 876832906880. Its totient is φ = 95070032640.

The previous prime is 314054022097. The next prime is 314054022103. The reversal of 314054022100 is 1220450413.

It is an interprime number because it is at equal distance from previous prime (314054022097) and next prime (314054022103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314054022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4781281 + ... + 4846519.

Almost surely, 2^314054022100 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 314054022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438416453440).

314054022100 is an abundant number, since it is smaller than the sum of its proper divisors (562778884780).

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

314054022100 is a wasteful number, since it uses less digits than its factorization.

314054022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65319 (or 65289 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 314054022100 its reverse (1220450413), we get a palindrome (315274472513).

The spelling of 314054022100 in words is "three hundred fourteen billion, fifty-four million, twenty-two thousand, one hundred".