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Palindromic number - Decimal palindromic numbers | | Palindromic number - Decimal palindromic numbers: Encyclopedia II - Palindromic number - Decimal palindromic numbers | | All numbers in base 10 with one digit {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} are palindromic ones. The number of palindromic numbers with two digits is 9:
{11, 22, 33, 44, 55, 66, 77, 88, 99}.
There are 90 palindromic numbers with three digits:
{101, 111, 121, 131, 141, 151, 161, 171, 181, 191, ..., 909, 919, 929, 939, 949, 959, 969, 979, 989, 999}
and also 90 palindromic numbers with four digits:
{1001, 1111, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, ..., 9 ...
See also:Palindromic number, Palindromic number - Formal definition, Palindromic number - Decimal palindromic numbers, Palindromic number - Other bases | | | Palindromic number, Palindromic number - Decimal palindromic numbers, Palindromic number - Formal definition, Palindromic number - Other bases, Lychrel number, Palindrome, Palindromic prime | | |
| | | Palindromic number: Encyclopedia II - Palindromic number - Decimal palindromic numbers
Palindromic number - Decimal palindromic numbers
All numbers in base 10 with one digit {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} are palindromic ones. The number of palindromic numbers with two digits is 9:
{11, 22, 33, 44, 55, 66, 77, 88, 99}.
There are 90 palindromic numbers with three digits:
{101, 111, 121, 131, 141, 151, 161, 171, 181, 191, ..., 909, 919, 929, 939, 949, 959, 969, 979, 989, 999}
and also 90 palindromic numbers with four digits:
{1001, 1111, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, ..., 9009, 9119, 9229, 9339, 9449, 9559, 9669, 9779, 9889, 9999},
so there are 199 palindromic numbers below 104. Below 105 there are 1099 palindromic numbers and for other exponents of 10n we have: 1999, 10999, 19999, 109999, 199999, 1099999, ... (sequence A070199 in OEIS). For some types of palindromic numbers these values are listed below in a table. Here 0 is included.
Other related archives0, 1, 10, 1001 Arabian Nights, 2, 3, 4, 5, 6, 7, 8, 9, Buckminster Fuller, Lychrel number, Mersenne primes, OEIS, Palindrome, Palindromic prime, Scheherazade, Synergetics, Zero, base, binary, decimal, digit, digits, hexadecimal, natural numbers, numeral system, numeral systems, palindrome, palindromic primes, perfect squares, radices, recreational mathematics, strictly non-palindromic number
 Adapted from the Wikipedia article "Decimal palindromic numbers", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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