431000442020100 has 72 divisors (see below), whose sum is σ = 1270556774786880. Its totient is φ = 112764895518080.

The previous prime is 431000442020077. The next prime is 431000442020131. The reversal of 431000442020100 is 1020244000134.

It is a super-2 number, since 2×431000442020100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13553457120 + ... + 13553488919.

It is an arithmetic number, because the mean of its divisors is an integer number (17646621872040).

Almost surely, 2^{431000442020100} is an apocalyptic number.

It is an amenable number.

431000442020100 is an abundant number, since it is smaller than the sum of its proper divisors (839556332766780).

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

431000442020100 is a wasteful number, since it uses less digits than its factorization.

431000442020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27106946109 (or 27106946102 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 431000442020100 its reverse (1020244000134), we get a palindrome (432020686020234).

The spelling of 431000442020100 in words is "four hundred thirty-one trillion, four hundred forty-two million, twenty thousand, one hundred".