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Number Theory
Level
pending
Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc. For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.
3112000
3211000
6948210
5600002
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1 solution
The number 3 2 1 1 0 0 0 is obviously the correct answer because ∣ ∣ 3 ∣ ∣ is the number of 0s, ∣ ∣ 2 ∣ ∣ is the number of 1s, the first ∣ ∣ 1 ∣ ∣ is the number of 2s, the second ∣ ∣ 1 ∣ ∣ is the number of 3s and the ∣ ∣ 0 ∣ ∣ 0 ∣ ∣ 0 ∣ ∣ are respectively the numbers of 4s, 5s and 6s.