How do I find the next largest palindrome?

The strategy to find the next palindrome is same. First we mirror the number and check whether it’s greater than the given one. If it is then we return that number, if not we increment the middle two digits by 1, which means adding 110 in this case.

What is the formula for palindrome?

Using the distributive property, any four digit palindrome can be written as x(1001) + y(110) where x is some integer between 1 and 9, inclusive, and y is some integer between 0 and 9, inclusive. For example, 6(1001) + 3(110) = 6006 + 330 = 6336 is a palindrome.

What are the palindromes between 10000 and 99999?


Number of digits Range of numbers Cumulative palindromic numbers
2 10-99 19
3 100-999 109
4 1000-9999 199
5 10000-99999 1099

What is the largest palindrome?

The longest palindrome in English is often considered tattarrattat, coined by James Joyce in his 1922 Ulysses to imitate the sound of a knock on the door. That’s 12 letters.

What is Adam number?

Adam number is a number when reversed, the square of the number and the square of the reversed number should be numbers which are reverse of each other. Adam numbers upto 1000 are: 0, 1, 2, 3, 11, 12, 13, 21, 22, 31, 101, 102, 103, 111, 112 , 113, 121, 122, 201, 202, 211, 212, 221, 301, 311.

What is the greatest palindromic number less than 99?

Answer: 88 is the largest possible palindromic number that is smaller than 99.

Does palindrome apply to numbers?

A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16461) that remains the same when its digits are reversed. The term palindromic is derived from palindrome, which refers to a word (such as rotor or racecar) whose spelling is unchanged when its letters are reversed.

Which number is palindrome number?

. The first few palindromic numbers are therefore are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, (OEIS A002113).

How many 5 digit palindromic numbers are there?

9 possible palindromic numbers are formed.

What do palindrome numbers mean?

A palindromic number is a number (in some base ) that is the same when written forwards or backwards, i.e., of the form. . The first few palindromic numbers are therefore are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121.

What is the longest palindromic sentence?

World’s longest palindrome?

  • In honor of the 20th of February, 2002, a palindromic date, Peter Norvig designed his worlds longest unique palindromic sentence of 21,012 words.
  • Norvig set himself the task to find a palindrome that consisted of only unique words.

What is the largest 3 digit palindrome?

Two loops each range from 100 to 999 for 3-digit number. Then we check the product and record the maximum palindrome. The answer is: 906609.

How to find the next smallest palindrome of a number?

Given a number, find the next smallest palindrome larger than the number. For example if the number is 125, next smallest palindrome is 131. The naive algorithm is to increment the number until we get a palindrome. So at every iteration we check whether the new number is palindrome or not.

How many palindromes are there in the world?

There are infinitely many palindromic numbers, some are:11, 101, 777, 1221, 2002, and so on. 10 palindromes -Find the palindrome! Or go to the answers. 10 palindromes -Find the palindrome!

How is the complexity of a palindrome determined?

The complexity depends on the number of digits in the number. If the number has 6 digits, we may have to increment it 999 times to get the smallest palindrome in the worst case (999000 to 999999). So the complexity is O (sqrt (N)), which is pretty bad.

What is a palindrome and what does it mean?

A palindrome is a word, phrase or number that reads the same forwards or backwards. “A man, a plan, a canal, Panama.” “Borrow or rob?”