431432143100 has 288 divisors, whose sum is σ = 1156032675840. Its totient is φ = 136461024000.

The previous prime is 431432143033. The next prime is 431432143123. The reversal of 431432143100 is 1341234134.

It is a happy number.

It is a super-2 number, since 2×431432143100² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431432143100.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 131894465 + ... + 131897735.

Almost surely, 2^431432143100 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 431432143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578016337920).

431432143100 is an abundant number, since it is smaller than the sum of its proper divisors (724600532740).

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

431432143100 is a wasteful number, since it uses less digits than its factorization.

431432143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 431432143100 its reverse (1341234134), we get a palindrome (432773377234).

The spelling of 431432143100 in words is "four hundred thirty-one billion, four hundred thirty-two million, one hundred forty-three thousand, one hundred".