11093382300 has 1152 divisors, whose sum is σ = 47624951808. Its totient is φ = 1916928000.

The previous prime is 11093382299. The next prime is 11093382329. The reversal of 11093382300 is 328339011.

11093382300 is digitally balanced in base 2, 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 209309074 + ... + 209309126.

It is an arithmetic number, because the mean of its divisors is an integer number (41341104).

Almost surely, 2^11093382300 is an apocalyptic number.

11093382300 is a gapful number since it is divisible by the number (10) 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 11093382300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23812475904).

11093382300 is an abundant number, since it is smaller than the sum of its proper divisors (36531569508).

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

11093382300 is a wasteful number, since it uses less digits than its factorization.

11093382300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

It can be divided in two parts, 11093 and 382300, that added together give a palindrome (393393).

The spelling of 11093382300 in words is "eleven billion, ninety-three million, three hundred eighty-two thousand, three hundred".