31748343905100 has 144 divisors (see below), whose sum is σ = 93686978149632. Its totient is φ = 8298030723840.

The previous prime is 31748343905093. The next prime is 31748343905107. The reversal of 31748343905100 is 150934384713.

It is a happy number.

31748343905100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (31748343905093) and next prime (31748343905107).

It is a self number, because there is not a number n which added to its sum of digits gives 31748343905100.

It is not an unprimeable number, because it can be changed into a prime (31748343905107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14614059 + ... + 16645341.

It is an arithmetic number, because the mean of its divisors is an integer number (650604014928).

Almost surely, 2^{31748343905100} is an apocalyptic number.

31748343905100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31748343905100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46843489074816).

31748343905100 is an abundant number, since it is smaller than the sum of its proper divisors (61938634244532).

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

31748343905100 is a wasteful number, since it uses less digits than its factorization.

31748343905100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032336 (or 2032329 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 31748343905100 in words is "thirty-one trillion, seven hundred forty-eight billion, three hundred forty-three million, nine hundred five thousand, one hundred".