Search a number
-
+
3101313233089 is a prime number
BaseRepresentation
bin101101001000010100101…
…011000111000011000001
3101222111000211222202211101
4231020110223013003001
5401302442141424324
610332420145414401
7440030301346351
oct55102453070301
911874024882741
103101313233089
11a96294518285
1242107b63a401
131965b642b936
14aa166520b61
1555a13dd4944
hex2d214ac70c1

3101313233089 has 2 divisors, whose sum is σ = 3101313233090. Its totient is φ = 3101313233088.

The previous prime is 3101313233063. The next prime is 3101313233119. The reversal of 3101313233089 is 9803323131013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2618545348864 + 482767884225 = 1618192^2 + 694815^2 .

It is a cyclic number.

It is not a de Polignac number, because 3101313233089 - 27 = 3101313232961 is a prime.

It is not a weakly prime, because it can be changed into another prime (3101313233789) 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, 1550656616544 + 1550656616545.

It is an arithmetic number, because the mean of its divisors is an integer number (1550656616545).

Almost surely, 23101313233089 is an apocalyptic number.

It is an amenable number.

3101313233089 is a deficient number, since it is larger than the sum of its proper divisors (1).

3101313233089 is an equidigital number, since it uses as much as digits as its factorization.

3101313233089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 3101313233089 in words is "three trillion, one hundred one billion, three hundred thirteen million, two hundred thirty-three thousand, eighty-nine".