2011112233 has 16 divisors (see below), whose sum is σ = 2206778896. Its totient is φ = 1821450240.

The previous prime is 2011112231. The next prime is 2011112237. The reversal of 2011112233 is 3322111102.

It can be written as a sum of positive squares in 8 ways, for example, as 371834089 + 1639278144 = 19283^2 + 40488^2 .

It is not a de Polignac number, because 2011112233 - 2¹ = 2011112231 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011112231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340441 + ... + 346297.

It is an arithmetic number, because the mean of its divisors is an integer number (137923681).

Almost surely, 2^2011112233 is an apocalyptic number.

It is an amenable number.

2011112233 is a deficient number, since it is larger than the sum of its proper divisors (195666663).

2011112233 is a wasteful number, since it uses less digits than its factorization.

2011112233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2011112233 is about 44845.4259986456. The cubic root of 2011112233 is about 1262.2501643071.

Adding to 2011112233 its reverse (3322111102), we get a palindrome (5333223335).

It can be divided in two parts, 2011 and 112233, that added together give a square (114244 = 338²).

The spelling of 2011112233 in words is "two billion, eleven million, one hundred twelve thousand, two hundred thirty-three".