Logical Numbers

Logic Level 3

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 \(\overline{ABCDEFGHI}\).