Is 272322013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 272 322 013 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 272 322 013, the only two divisors are 1 and 272 322 013. Therefore 272 322 013 is a prime number.
As a consequence, 272 322 013 is only a multiple of 1 and 272 322 013.
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Since 272322013 is a prime number, 272322013 is also a deficient number, that is to say 272322013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 272322013 without 272322013 itself (that is 1, by definition!).