31000194900 has 108 divisors (see below), whose sum is σ = 97257642300. Its totient is φ = 8259125760.

The previous prime is 31000194899. The next prime is 31000194913. The reversal of 31000194900 is 949100013.

It can be written as a sum of positive squares in 6 ways, for example, as 14939195076 + 16060999824 = 122226^2 + 126732^2 .

It is a super-2 number, since 2×31000194900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1000846 + ... + 1031354.

It is an arithmetic number, because the mean of its divisors is an integer number (900533725).

Almost surely, 2^31000194900 is an apocalyptic number.

31000194900 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 31000194900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48628821150).

31000194900 is an abundant number, since it is smaller than the sum of its proper divisors (66257447400).

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

31000194900 is a wasteful number, since it uses less digits than its factorization.

31000194900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31658 (or 31648 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 31000194900 its reverse (949100013), we get a palindrome (31949294913).

The spelling of 31000194900 in words is "thirty-one billion, one hundred ninety-four thousand, nine hundred".