Search a number
-
+
12302101093 is a prime number
BaseRepresentation
bin10110111010100001…
…10010101001100101
31011202100120111010211
423131100302221211
5200143314213333
65352420415421
7613600063642
oct133520625145
934670514124
1012302101093
1152432406a7
122473b47571
131210919a79
14849bbadc9
154c0046ecd
hex2dd432a65

12302101093 has 2 divisors, whose sum is σ = 12302101094. Its totient is φ = 12302101092.

The previous prime is 12302101079. The next prime is 12302101157. The reversal of 12302101093 is 39010120321.

12302101093 is digitally balanced in base 2, 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., 9051048769 + 3251052324 = 95137^2 + 57018^2 .

It is an emirp because it is prime and its reverse (39010120321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12302101093 - 29 = 12302100581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12302101003) 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, 6151050546 + 6151050547.

It is an arithmetic number, because the mean of its divisors is an integer number (6151050547).

Almost surely, 212302101093 is an apocalyptic number.

It is an amenable number.

12302101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12302101093 is an equidigital number, since it uses as much as digits as its factorization.

12302101093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 12302101093 in words is "twelve billion, three hundred two million, one hundred one thousand, ninety-three".