31434041100 has 144 divisors (see below), whose sum is σ = 113391242496. Its totient is φ = 6531744000.

The previous prime is 31434041059. The next prime is 31434041129. The reversal of 31434041100 is 114043413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657291 + ... + 703490.

It is an arithmetic number, because the mean of its divisors is an integer number (787439184).

Almost surely, 2^31434041100 is an apocalyptic number.

31434041100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31434041100 is an abundant number, since it is smaller than the sum of its proper divisors (81957201396).

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

31434041100 is a wasteful number, since it uses less digits than its factorization.

31434041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360816 (or 1360809 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31434041100 its reverse (114043413), we get a palindrome (31548084513).

The spelling of 31434041100 in words is "thirty-one billion, four hundred thirty-four million, forty-one thousand, one hundred".