Is 198219013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 198 219 013 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 198 219 013, the only two divisors are 1 and 198 219 013. Therefore 198 219 013 is a prime number.
As a consequence, 198 219 013 is only a multiple of 1 and 198 219 013.
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Since 198219013 is a prime number, 198219013 is also a deficient number, that is to say 198219013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 198219013 without 198219013 itself (that is 1, by definition!).