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


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