Known base-10 Badulla Badu numbers (nontrivial, ( L \ge 2 )): Check 81 (2 digits), 512 (3 digits), 2401 (4 digits). Next? Possibly none for higher ( L ) due to growth constraints.
So a more refined requires the palindrome to be of odd length, or the reversal step itself to be non-trivial.
Known base-10 Badulla Badu numbers (nontrivial, ( L \ge 2 )): Check 81 (2 digits), 512 (3 digits), 2401 (4 digits). Next? Possibly none for higher ( L ) due to growth constraints.
So a more refined requires the palindrome to be of odd length, or the reversal step itself to be non-trivial.