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In addition to 1991 and 2002, you can find more palindromes among the years of the 20th and 21st century by converting the years to other bases. For example, 2015 converted to binary (base 2) is 11111011111, a palindrome.

Other 20th- and 21st-century years that are palindromes when converted to binary are 1911 (11101110111), 1935 (11110001111), 1967 (11110101111), 2047 (11111111111) and 2049 (100000000001).

In base 3 (trinary), we have 1913 (2121212), 1940 (2122212), 1952 (2200022), 1979 (2201022), 2006 (2202022), 2042 (2210122), 2069 (2211122) and 2096 (2212122).

In base 4, there are 1965 (132231), 2045 (133331) and 2050 (200002).

In base 5, we get 1903 (30103), 1928 (30203), 1953 (30303), 1978 (30403), 2008 (31013), 2033 (31113), 2058 (31213) and 2083 (31313).

In base 6, there are 1921 (12521), 1963 (13031), 1999 (13131), 2035 (13231) and 2071 (13331).

In base 7: 1944 (5445), 2000 (5555), 2056 (5665) and 2064 (6006).

In base 8 (octal): 1971 (3663), 2043 (3773) and 2052 (4004).

In base 9: 1910 (2552), 2000 (2662) and 2090 (2772).

And finally I present hexadecimal (base 16): 1911 (777), 1927 (787), 1943 (797), 1959 (7A7), 1975 (7B7), 1991 (7C7), 2007 (7D7), 2023 (7E7), 2039 (7F7), 2056 (808), 2072 (818) and 2088 (828).

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Related Questions

What years produce the most palindromic dates?

Years that produce the most palindromic dates are typically those that have a symmetrical numerical structure, such as 1001, 1111, 1221, and so on. In the 21st century, the year 2022 is notable for its palindromic dates, particularly the dates from February 2 (02/02/2022) to December 12 (12/12/2022). However, the most palindromic years are often those that can form multiple palindromic combinations, such as 303, 505, and 909, depending on the date format used. Overall, palindromic years can vary based on regional date formats (DD/MM/YYYY vs. MM/DD/YYYY).


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