1011100320 has 120 divisors (see below), whose sum is σ = 3568387284. Its totient is φ = 269623296.

The previous prime is 1011100319. The next prime is 1011100357. The reversal of 1011100320 is 230011101.

It can be written as a sum of positive squares in 2 ways, for example, as 814988304 + 196112016 = 28548^2 + 14004^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 19 ways as a sum of consecutive naturals, for example, 26049 + ... + 51968.

Almost surely, 2^1011100320 is an apocalyptic number.

1011100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011100320 is an abundant number, since it is smaller than the sum of its proper divisors (2557286964).

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

1011100320 is an equidigital number, since it uses as much as digits as its factorization.

1011100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78044 (or 78027 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1011100320 is about 31797.8036977399. The cubic root of 1011100320 is about 1003.6864996865.

Adding to 1011100320 its reverse (230011101), we get a palindrome (1241111421).

The spelling of 1011100320 in words is "one billion, eleven million, one hundred thousand, three hundred twenty".