11300220320 has 96 divisors (see below), whose sum is σ = 27620420688. Its totient is φ = 4365508608.

The previous prime is 11300220319. The next prime is 11300220361. The reversal of 11300220320 is 2302200311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10773609616 + 526610704 = 103796^2 + 22948^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11300220295 and 11300220304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804074 + ... + 818006.

Almost surely, 2^11300220320 is an apocalyptic number.

11300220320 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 11300220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13810210344).

11300220320 is an abundant number, since it is smaller than the sum of its proper divisors (16320200368).

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

11300220320 is a wasteful number, since it uses less digits than its factorization.

11300220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14122 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11300220320 its reverse (2302200311), we get a palindrome (13602420631).

The spelling of 11300220320 in words is "eleven billion, three hundred million, two hundred twenty thousand, three hundred twenty".