Search a number
-
+
3101312123279 is a prime number
BaseRepresentation
bin101101001000010100100…
…110111000000110001111
3101222111000202220101110022
4231020110212320012033
5401302441400421104
610332420105532355
7440030256044636
oct55102446700617
911874022811408
103101312123279
11a9629392a487
1242107b1a40bb
131965b6130746
14aa16631251d
1555a13c65bbe
hex2d2149b818f

3101312123279 has 2 divisors, whose sum is σ = 3101312123280. Its totient is φ = 3101312123278.

The previous prime is 3101312123227. The next prime is 3101312123291. The reversal of 3101312123279 is 9723212131013.

3101312123279 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 is an emirp because it is prime and its reverse (9723212131013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3101312123279 - 216 = 3101312057743 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3101312123579) 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, 1550656061639 + 1550656061640.

It is an arithmetic number, because the mean of its divisors is an integer number (1550656061640).

Almost surely, 23101312123279 is an apocalyptic number.

3101312123279 is a deficient number, since it is larger than the sum of its proper divisors (1).

3101312123279 is an equidigital number, since it uses as much as digits as its factorization.

3101312123279 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 3101312123279 in words is "three trillion, one hundred one billion, three hundred twelve million, one hundred twenty-three thousand, two hundred seventy-nine".