31344440100 has 72 divisors (see below), whose sum is σ = 90876558528. Its totient is φ = 8341315200.

The previous prime is 31344440063. The next prime is 31344440117. The reversal of 31344440100 is 104444313.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38830 + ... + 253370.

It is an arithmetic number, because the mean of its divisors is an integer number (1262174424).

Almost surely, 2^31344440100 is an apocalyptic number.

31344440100 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 31344440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45438279264).

31344440100 is an abundant number, since it is smaller than the sum of its proper divisors (59532118428).

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

31344440100 is a wasteful number, since it uses less digits than its factorization.

31344440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215045 (or 215038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31344440100 its reverse (104444313), we get a palindrome (31448884413).

The spelling of 31344440100 in words is "thirty-one billion, three hundred forty-four million, four hundred forty thousand, one hundred".