Is 117202321 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 117 202 321 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 117 202 321, the only two divisors are 1 and 117 202 321. Therefore 117 202 321 is a prime number.
As a consequence, 117 202 321 is only a multiple of 1 and 117 202 321.
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Since 117202321 is a prime number, 117202321 is also a deficient number, that is to say 117202321 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 117202321 without 117202321 itself (that is 1, by definition!).