431679228100 has 18 divisors (see below), whose sum is σ = 936743925194. Its totient is φ = 172671691200.

The previous prime is 431679228089. The next prime is 431679228143. The reversal of 431679228100 is 1822976134.

It can be written as a sum of positive squares in 3 ways, for example, as 125310336064 + 306368892036 = 353992^2 + 553506^2 .

It is a super-2 number, since 2×431679228100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2158396041 + ... + 2158396240.

Almost surely, 2^431679228100 is an apocalyptic number.

It is an amenable number.

431679228100 is an abundant number, since it is smaller than the sum of its proper divisors (505064697094).

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

431679228100 is a wasteful number, since it uses less digits than its factorization.

431679228100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316792295 (or 4316792288 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 431679228100 in words is "four hundred thirty-one billion, six hundred seventy-nine million, two hundred twenty-eight thousand, one hundred".