231010000 has 100 divisors (see below), whose sum is σ = 602660212. Its totient is φ = 85248000.

The previous prime is 231009979. The next prime is 231010001. The reversal of 231010000 is 10132.

231010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 209554576 + 21455424 = 14476^2 + 4632^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129112 + ... + 130888.

Almost surely, 2^231010000 is an apocalyptic number.

231010000 is a gapful number since it is divisible by the number (20) 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 231010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301330106).

231010000 is an abundant number, since it is smaller than the sum of its proper divisors (371650212).

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

231010000 is a wasteful number, since it uses less digits than its factorization.

231010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 231010000 is about 15199.0131258579. The cubic root of 231010000 is about 613.5880977958.

Adding to 231010000 its reverse (10132), we get a palindrome (231020132).

The spelling of 231010000 in words is "two hundred thirty-one million, ten thousand".