Is 37101013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 101 013 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 37 101 013, the only two divisors are 1 and 37 101 013. Therefore 37 101 013 is a prime number.
As a consequence, 37 101 013 is only a multiple of 1 and 37 101 013.
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Since 37101013 is a prime number, 37101013 is also a deficient number, that is to say 37101013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37101013 without 37101013 itself (that is 1, by definition!).