In my country i decided to develop my own currency. Long tired of the decimal system, i decided to arbitrarily make a new currency system. From now on 121 coins make 1 Bmad bill. $121 one BMAD bills makes a hundred and so on. Also, i decided that All numbers within each system must be reached by no more than five bills/coins. In other words. If i want 119 cents, then five coins or less must be enough to reach that amount. If i want 120 cents, then i would use at most five coins too but it does not have to be the same five coins that made 119. So to reach any price amount under a hundred, i would need at most five bills and five coins.
1. What is the fewest number of coins needed to make the above true? What would be their values?
2. How many one BMAD bills are needed to make a million?