It seems like a numerical oddity, and it is; but not in the capricious sense. It has that special grace of problems in which each figure imposes conditions on all the others.
The number that describes itself
Riddle statement
Finds a 10-digit number
\[
d_0\ d_1\ d_2\ d_3\ d_4\ d_5\ d_6\ d_7\ d_8\ d_9
\]
with this property:
- \(d_0\) indicates how many zeros the number contains;
- \(d_1\) indicates how many ones it contains;
- \(d_2\) indicates how many twos it contains;
- and so on;
- \(d_9\) indicates how many nines it contains.
What is that number?