213100240 has 40 divisors (see below), whose sum is σ = 496396800. Its totient is φ = 85078656.

The previous prime is 213100201. The next prime is 213100243. The reversal of 213100240 is 42001312.

213100240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 213100240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213100243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45697 + ... + 50143.

It is an arithmetic number, because the mean of its divisors is an integer number (12409920).

Almost surely, 2^213100240 is an apocalyptic number.

213100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100240 is an abundant number, since it is smaller than the sum of its proper divisors (283296560).

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

213100240 is a wasteful number, since it uses less digits than its factorization.

213100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 213100240 is about 14597.9532811966. The cubic root of 213100240 is about 597.3029315726.

Adding to 213100240 its reverse (42001312), we get a palindrome (255101552).

The spelling of 213100240 in words is "two hundred thirteen million, one hundred thousand, two hundred forty".