Search a number
-
+
3103321311289 is a prime number
BaseRepresentation
bin101101001010001100010…
…111010100100000111001
3101222200012210112201021001
4231022030113110200321
5401321100223430124
610333351321445001
7440131123624633
oct55121427244071
911880183481231
103103321311289
11a97124a82141
12421540040761
13196846473ba4
14aa2b70bda53
1555ad0340b44
hex2d28c5d4839

3103321311289 has 2 divisors, whose sum is σ = 3103321311290. Its totient is φ = 3103321311288.

The previous prime is 3103321311253. The next prime is 3103321311359. The reversal of 3103321311289 is 9821131233013.

It is a happy number.

3103321311289 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3048488064064 + 54833247225 = 1745992^2 + 234165^2 .

It is a cyclic number.

It is not a de Polignac number, because 3103321311289 - 217 = 3103321180217 is a prime.

It is a super-2 number, since 2×31033213112892 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3103321011289) 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, 1551660655644 + 1551660655645.

It is an arithmetic number, because the mean of its divisors is an integer number (1551660655645).

Almost surely, 23103321311289 is an apocalyptic number.

It is an amenable number.

3103321311289 is a deficient number, since it is larger than the sum of its proper divisors (1).

3103321311289 is an equidigital number, since it uses as much as digits as its factorization.

3103321311289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 3103321311289 in words is "three trillion, one hundred three billion, three hundred twenty-one million, three hundred eleven thousand, two hundred eighty-nine".