Is 122931209 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 122 931 209 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 122 931 209, the only two divisors are 1 and 122 931 209. Therefore 122 931 209 is a prime number.
As a consequence, 122 931 209 is only a multiple of 1 and 122 931 209.
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Since 122931209 is a prime number, 122931209 is also a deficient number, that is to say 122931209 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 122931209 without 122931209 itself (that is 1, by definition!).