100434200031 has 60 divisors (see below), whose sum is σ = 162983115360. Its totient is φ = 59570448960.

The previous prime is 100434200029. The next prime is 100434200093. The reversal of 100434200031 is 130002434001.

100434200031 is a `hidden beast` number, since 1 + 0 + 0 + 434 + 200 + 0 + 31 = 666.

It is not a de Polignac number, because 100434200031 - 2¹ = 100434200029 is a prime.

It is a super-2 number, since 2×100434200031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100434199977 and 100434200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100434200231) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6185035 + ... + 6201251.

It is an arithmetic number, because the mean of its divisors is an integer number (2716385256).

Almost surely, 2^100434200031 is an apocalyptic number.

100434200031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100434200031 is a deficient number, since it is larger than the sum of its proper divisors (62548915329).

100434200031 is an equidigital number, since it uses as much as digits as its factorization.

100434200031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16314 (or 16278 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100434200031 its reverse (130002434001), we get a palindrome (230436634032).

The spelling of 100434200031 in words is "one hundred billion, four hundred thirty-four million, two hundred thousand, thirty-one".