211324090000 has 75 divisors (see below), whose sum is σ = 511748076477. Its totient is φ = 84511248000.

The previous prime is 211324089997. The next prime is 211324090007. The reversal of 211324090000 is 90423112.

The square root of 211324090000 is 459700.

It is a perfect power (a square), and thus also a powerful number.

211324090000 is digitally balanced in base 2, 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 7 ways, for example, as 211294670224 + 29419776 = 459668^2 + 5424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211324090007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 45967702 + ... + 45972298.

Almost surely, 2^211324090000 is an apocalyptic number.

211324090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

211324090000 is the 459700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211324090000

211324090000 is an abundant number, since it is smaller than the sum of its proper divisors (300423986477).

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

211324090000 is an frugal number, since it uses more digits than its factorization.

211324090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 211324090000 in words is "two hundred eleven billion, three hundred twenty-four million, ninety thousand".