314240032100 has 18 divisors (see below), whose sum is σ = 681900869874. Its totient is φ = 125696012800.

The previous prime is 314240032091. The next prime is 314240032109. The reversal of 314240032100 is 1230042413.

It is an interprime number because it is at equal distance from previous prime (314240032091) and next prime (314240032109).

It can be written as a sum of positive squares in 3 ways, for example, as 42379986496 + 271860045604 = 205864^2 + 521402^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (314240032109) 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 5 ways as a sum of consecutive naturals, for example, 1571200061 + ... + 1571200260.

Almost surely, 2^314240032100 is an apocalyptic number.

It is an amenable number.

314240032100 is an abundant number, since it is smaller than the sum of its proper divisors (367660837774).

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

314240032100 is a wasteful number, since it uses less digits than its factorization.

314240032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142400335 (or 3142400328 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 314240032100 its reverse (1230042413), we get a palindrome (315470074513).

The spelling of 314240032100 in words is "three hundred fourteen billion, two hundred forty million, thirty-two thousand, one hundred".