11200002819 has 16 divisors (see below), whose sum is σ = 15127257600. Its totient is φ = 7369875296.

The previous prime is 11200002791. The next prime is 11200002833. The reversal of 11200002819 is 91820000211.

11200002819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11200002819 - 2⁸ = 11200002563 is a prime.

It is a super-2 number, since 2×11200002819² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11200002899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255862 + ... + 296420.

It is an arithmetic number, because the mean of its divisors is an integer number (945453600).

Almost surely, 2^11200002819 is an apocalyptic number.

11200002819 is a deficient number, since it is larger than the sum of its proper divisors (3927254781).

11200002819 is a wasteful number, since it uses less digits than its factorization.

11200002819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41754.

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 11200002819 in words is "eleven billion, two hundred million, two thousand, eight hundred nineteen".