# (Palindrome)_8

**Number Theory**Level 3

Observe that \( 9 = (9)_{10} \) is a palindrome in base 10, and \( 9 = (11)_{8} \) is a palindrome base 8. In decimal notation, what is the next smallest integer that is a palindrome in both base 10 and base 8?

**Details and assumptions**

The "next smallest integer" refers to the smallest integer larger than 9 which satisfies the conditions.