IKMC 2025 - Grades 7-8 - Set 2 - Self-study Question 21

In the six-digit integer $\overline{PAPAYA}$, different letters stand for different digits and the same letter always represents the same digit. Also $Y=P+P=A+A+A$. What is the value of $P\times A\times P\times A\times Y\times A$?