Express the prime factorization 2 square root 3 times 5 square root 2 times 11 as a whole number

The prime factorization of $2\sqrt{3} \cdot 5\sqrt{2} \cdot 11$ can be written as

$$2\sqrt{3} \cdot 5\sqrt{2} \cdot 11 = (2 \cdot 5 \cdot 11)(\sqrt{3} \cdot \sqrt{2}).$$
Simplifying, we have
$$2\sqrt{3} \cdot 5\sqrt{2} \cdot 11 = \boxed{110 \sqrt{6}}.$$