Do you know my Phone number?Number Theory Level 4
During a talk with Aditya Raut on slack, Aditya asked Mehul for his phone number. Mehul tried to play a trick with Aditya, he gave Aditya some hints about his phone number:
In my phone number, none of the digit repeats.
It is a \(10\) digit number.
The first \(n\) digits of that number. are divisible by \(n\). For example: first \(5\) digits are divisible by \(5\), first \(6\) digits are divisible by \(6\) and so on.
First digit is not \(0\).
All the digits are positive integers.
After some time Mehul got a call from Aditya, which signified that Aditya has conquered Mehul's trick(although it was very easy for Aditya, being a genious).
Now it's your turn Brilliantians, just go for it .and find my secret Phone number