1101303200 has 72 divisors (see below), whose sum is σ = 2697327360. Its totient is φ = 439084800.

The previous prime is 1101303193. The next prime is 1101303221. The reversal of 1101303200 is 23031011.

1101303200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 262721 + ... + 266879.

It is an arithmetic number, because the mean of its divisors is an integer number (37462880).

Almost surely, 2^1101303200 is an apocalyptic number.

1101303200 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 1101303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348663680).

1101303200 is an abundant number, since it is smaller than the sum of its proper divisors (1596024160).

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

1101303200 is a wasteful number, since it uses less digits than its factorization.

1101303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1101303200 is about 33185.8885672811. Note that the first 3 decimals coincide. The cubic root of 1101303200 is about 1032.6876113768.

Adding to 1101303200 its reverse (23031011), we get a palindrome (1124334211).

The spelling of 1101303200 in words is "one billion, one hundred one million, three hundred three thousand, two hundred".