Problem #PRU-5003

Problems Cryptography Number theory

Problem

Pinoccio keeps his Golden Key in the safe that is locked with a numerical password. For secure storage of the Key he replaced some digits in the password by letters (in such a way that different letters substitute different digits). After replacement Pinoccio got the password QUANTISED17. Honest John found out that:
• the number QUANTISED is divisible by all integers less than 17, and
• the difference QUANTI is divisible by 7.
Could he find the password?