Search for a 10 digit number
$$ d_0d_1d_2d_3d_4d_5d_6d_7d_8d_9 $$
such that:
- $d_0$ = number of zeros in the number,
- $d_1$ = number of ones,
- $d_2$ = number of twos,
-...
- $d_9$ = number of nines.
What is that number?
Home > Riddles > The number that describes itself
The number that describes itself
Hints
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- All conditions are met.
- Next preview: 2 ones appear (positions 2 and 6). Then, 1 two appears (position 1).
- Direct check of string 6210001000: 6 zeros appear (positions 3,4,5,7,8,9).
Solution
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Answer:
$$ 6210001000. $$
Interpretation:
- 6 zeros,
- 2 ones,
- 1 two,
- 0 three,
- 0 fours,
- 0 fives,
- 1 six,
- 0 sevens,
- 0 eights,
- 0 nines.
Direct verification of the 6210001000 chain:
- 6 zeros appear (positions 3,4,5,7,8,9),
- 2 ones appear (positions 2 and 6),
- 1 two appears (position 1),
- 1 six appears (position 0),
- and 3,4,5,7,8,9 do not appear.
All conditions are met.
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