Take the number $6$ and multiply it by each of $1273$ and $9854$:
$$\begin{align} 6 \times 1273 &= 7638\\ 6 \times 9854 &= 59124 \end{align}$$By concatenating these products we get the $1$ to $9$ pandigital $763859124$. We will call $763859124$ the "concatenated product of $6$ and $(1273,9854)$". Notice too, that the concatenation of the input numbers, $612739854$, is also $1$ to $9$ pandigital.
The same can be done for $0$ to $9$ pandigital numbers.
What is the largest $0$ to $9$ pandigital $10$-digit concatenated product of an integer with two or more other integers, such that the concatenation of the input numbers is also a $0$ to $9$ pandigital $10$-digit number?
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