Search a number
-
+
3120002117 is a prime number
BaseRepresentation
bin1011100111110111…
…0111010001000101
322001102211112021222
42321331313101011
522342210031432
61233332250125
7140213403041
oct27175672105
98042745258
103120002117
111361183851
12730a70945
133a950c3cb
14218523021
15133d9a112
hexb9f77445

3120002117 has 2 divisors, whose sum is σ = 3120002118. Its totient is φ = 3120002116.

The previous prime is 3120002113. The next prime is 3120002167. The reversal of 3120002117 is 7112000213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2210316196 + 909685921 = 47014^2 + 30161^2 .

It is an emirp because it is prime and its reverse (7112000213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3120002117 - 22 = 3120002113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3120002095 and 3120002104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3120002113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560001058 + 1560001059.

It is an arithmetic number, because the mean of its divisors is an integer number (1560001059).

Almost surely, 23120002117 is an apocalyptic number.

It is an amenable number.

3120002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

3120002117 is an equidigital number, since it uses as much as digits as its factorization.

3120002117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 3120002117 is about 55856.9791252624. The cubic root of 3120002117 is about 1461.2290453062.

The spelling of 3120002117 in words is "three billion, one hundred twenty million, two thousand, one hundred seventeen".