11024200242011 has 32 divisors (see below), whose sum is σ = 12706373145600. Its totient is φ = 9459283680000.

The previous prime is 11024200241939. The next prime is 11024200242017.

11024200242011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11024200242011 - 2⁴² = 6626153730907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11024200242017) 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 31 ways as a sum of consecutive naturals, for example, 581466350 + ... + 581485308.

It is an arithmetic number, because the mean of its divisors is an integer number (397074160800).

Almost surely, 2^{11024200242011} is an apocalyptic number.

11024200242011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11024200242011 is a deficient number, since it is larger than the sum of its proper divisors (1682172903589).

11024200242011 is a wasteful number, since it uses less digits than its factorization.

11024200242011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29171.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 11024200 and 242011, that added together give a palindrome (11266211).

The spelling of 11024200242011 in words is "eleven trillion, twenty-four billion, two hundred million, two hundred forty-two thousand, eleven".