431312442100 has 72 divisors (see below), whose sum is σ = 939264258240. Its totient is φ = 171914810880.

The previous prime is 431312442059. The next prime is 431312442107. The reversal of 431312442100 is 1244213134.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431312442107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33379441 + ... + 33392359.

It is an arithmetic number, because the mean of its divisors is an integer number (13045336920).

Almost surely, 2^431312442100 is an apocalyptic number.

It is an amenable number.

431312442100 is an abundant number, since it is smaller than the sum of its proper divisors (507951816140).

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

431312442100 is a wasteful number, since it uses less digits than its factorization.

431312442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14089 (or 14082 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 431312442100 its reverse (1244213134), we get a palindrome (432556655234).

The spelling of 431312442100 in words is "four hundred thirty-one billion, three hundred twelve million, four hundred forty-two thousand, one hundred".