An integer is called eleven-free if its decimal expansion does not contain any substring representing a power of $11$ except $1$.

For example, $2404$ and $13431$ are eleven-free, while $911$ and $4121331$ are not.

Let $E(n)$ be the $n$th positive eleven-free integer. For example, $E(3)=3$, $E(200)=213$ and $E(500000)=531563$.

Find $E({10}^{18})$.