Search a number
-
+
3102120232037 is a prime number
BaseRepresentation
bin101101001001000100110…
…001100100010001100101
3101222120010002111120021022
4231021010301210101211
5401311120234411122
610333032214300525
7440056300623101
oct55110461442145
911876102446238
103102120232037
11a96668aa9562
12421265957745
131966b46923c8
14aa20178c901
1555a5eb90642
hex2d244c64465

3102120232037 has 2 divisors, whose sum is σ = 3102120232038. Its totient is φ = 3102120232036.

The previous prime is 3102120232009. The next prime is 3102120232039. The reversal of 3102120232037 is 7302320212013.

It is a happy number.

3102120232037 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2872723297921 + 229396934116 = 1694911^2 + 478954^2 .

It is a cyclic number.

It is not a de Polignac number, because 3102120232037 - 214 = 3102120215653 is a prime.

Together with 3102120232039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 3102120231997 and 3102120232015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3102120232039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1551060116018 + 1551060116019.

It is an arithmetic number, because the mean of its divisors is an integer number (1551060116019).

Almost surely, 23102120232037 is an apocalyptic number.

It is an amenable number.

3102120232037 is a deficient number, since it is larger than the sum of its proper divisors (1).

3102120232037 is an equidigital number, since it uses as much as digits as its factorization.

3102120232037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 3102120232037 in words is "three trillion, one hundred two billion, one hundred twenty million, two hundred thirty-two thousand, thirty-seven".