This is a palindrome number.
Any number can also be added in the following way.
For example: 29+92= 12 1 and194+491= 685,586+685 =1271+65438.
However, many figures do not find such characteristics (for example, 196, which will be discussed below).
Other individual squares are palindromes.
1 squared = 1
1 1 squared = 12 1
The square of11= 1232 1
The square of111= 123432 1
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Analogy in turn
3×5 1= 153
6×2 1= 126
4307×62=267034
9×7×533=33579
In the above formula, the left side of the equal sign is the product of two (or three) factors, and the right side is their product. If the "×" and "=" in each formula are removed and become palindromes, then we might as well call these formulas palindromes. There are also some palindrome formulas with two factors on each side of the equal sign. Please see:
12×42=24×2 1
34×86=68×43
102×402=204×20 1
10 12×4202=2024×2 10 1
I don't know if you have noticed that if you exchange the factors on both sides of the palindrome formula above, you will still get a palindrome formula. For example, if the factors on both sides of "12×42=24×2 1" are interchanged, the formula is:
42× 12=2 1×24
This is also a palindrome formula.
There are more wonderful palindromes, please see:
12× 231=132× 21(product is 2772)
12×4032=2304×2 1 (product is 48384)
This palindrome formula, even the product is palindrome.
One of the characteristics of four-digit palindromes is that they will never be prime numbers. Assuming abba, it is equal to a *1000+b *100+b *10+a,10010b. Divisible by 1 1
The same is true for six digits, which can also be divisible by 1 1.
Also, with the help of computers, people find that the palindromes in the complete square number and the complete cubic number are much larger than those in the general natural number. For example,112 =1,22 2 = 484, 7 3 = 343,113 =133.
So far, people have not found palindromes of the fifth power and higher power. So mathematicians guess that there is no NK (k ≥ 5; N and k are natural numbers).
In the practice of electronic calculator, we also found an interesting thing: any natural number is added with its inverse number, and the sum obtained is also added with the inverse number of sum ... If this process is repeated, a palindrome number will be obtained after a limited number of steps.
This is just a guess, because some numbers have not been "tamed". For example, the number 196 has been repeated hundreds of thousands of times according to the above transformation rules, and still no palindrome has been obtained. However, people can't be sure that they will never get palindrome after the operation, and they don't know how many steps are needed to finally get palindrome.
I hope I can help you. Let's go