All digits 1 to 9 are used in place of the letters A through I such that

$A+B+C$ > $D+E+F$ > $G+H+I$

$E$ is a prime factor of $G$

$F$ > $A$

$B+G= H$

$I$ is not $1$

Which letter represents which number?

Concatenate the answer as the nine-digit integer $\overline{ABCDEFGHI}$.

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