211132324104 has 128 divisors (see below), whose sum is σ = 571547854080. Its totient is φ = 64608768000.

The previous prime is 211132324097. The next prime is 211132324127. The reversal of 211132324104 is 401423231112.

211132324104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52688869 + ... + 52692875.

It is an arithmetic number, because the mean of its divisors is an integer number (4465217610).

Almost surely, 2^211132324104 is an apocalyptic number.

211132324104 is a gapful number since it is divisible by the number (24) 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 211132324104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285773927040).

211132324104 is an abundant number, since it is smaller than the sum of its proper divisors (360415529976).

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

211132324104 is a wasteful number, since it uses less digits than its factorization.

211132324104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211132324104 its reverse (401423231112), we get a palindrome (612555555216).

The spelling of 211132324104 in words is "two hundred eleven billion, one hundred thirty-two million, three hundred twenty-four thousand, one hundred four".