Is 100718209 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 100 718 209 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 100 718 209, the only two divisors are 1 and 100 718 209. Therefore 100 718 209 is a prime number.
As a consequence, 100 718 209 is only a multiple of 1 and 100 718 209.
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Since 100718209 is a prime number, 100718209 is also a deficient number, that is to say 100718209 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 100718209 without 100718209 itself (that is 1, by definition!).