11310200 has 96 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 3993600.

The previous prime is 11310199. The next prime is 11310217. The reversal of 11310200 is 201311.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116552 + ... + 116648.

Almost surely, 2^11310200 is an apocalyptic number.

11310200 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 11310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

11310200 is an abundant number, since it is smaller than the sum of its proper divisors (18219160).

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

11310200 is a wasteful number, since it uses less digits than its factorization.

11310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 11310200 is about 3363.0640790803. The cubic root of 11310200 is about 224.4692014503.

Adding to 11310200 its reverse (201311), we get a palindrome (11511511).

Subtracting from 11310200 its reverse (201311), we obtain a square (11108889 = 3333²).

The spelling of 11310200 in words is "eleven million, three hundred ten thousand, two hundred".