It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 601 121 is not a prime number.
For example, 138 601 121 can be divided by 29: 138 601 121 / 29 = 4 779 349.
For 138 601 121 to be a prime number, it would have been required that 138 601 121 has only two divisors, i.e., itself and 1.
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138 601 121 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 138 601 121 is about 11 772.898.
Thus, the square root of 138 601 121 is not an integer, and therefore 138 601 121 is not a square number.
The square of a number (here 138 601 121) is the result of the product of this number (138 601 121) by itself (i.e., 138 601 121 × 138 601 121); the square of 138 601 121 is sometimes called "raising 138 601 121 to the power 2", or "138 601 121 squared".
The square of 138 601 121 is 19 210 270 742 456 640 because 138 601 121 × 138 601 121 = 138 601 1212 = 19 210 270 742 456 640.
As a consequence, 138 601 121 is the square root of 19 210 270 742 456 640.
138 601 121 is a number with 9 digits.
The multiples of 138 601 121 are all integers evenly divisible by 138 601 121, that is all numbers such that the remainder of the division by 138 601 121 is zero. There are infinitely many multiples of 138 601 121. The smallest multiples of 138 601 121 are: