It is prime;
Its sod() is 38;
The sod() of the first 3 digits is the reverse of the sod() of the last 3 digits;
When it is converted from decimal to base-N, where N is any integer from 11 to 36, all 10 numeric digits and 23 different letters appear, but there is never a Q, S, or Z in its base-N representation (for those bases).
These constraints determine a unique 7-digit number.
Find it.
Bonus: what is its pop culture significance?
Note: the sod(N) is the sum of digits of N
Answer
