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12301113029 is a prime number
BaseRepresentation
bin10110111010011010…
…00001011011000101
31011202021201021202212
423131031001123011
5200143041104104
65352343313205
7613555510202
oct133515013305
934667637685
1012301113029
115242726317
12247374b805
13121066210a
14849a00ca9
154bedee36e
hex2dd3416c5

12301113029 has 2 divisors, whose sum is σ = 12301113030. Its totient is φ = 12301113028.

The previous prime is 12301113001. The next prime is 12301113037. The reversal of 12301113029 is 92031110321.

12301113029 is digitally balanced in base 2, 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., 11851588225 + 449524804 = 108865^2 + 21202^2 .

It is a cyclic number.

It is not a de Polignac number, because 12301113029 - 212 = 12301108933 is a prime.

It is a super-3 number, since 3×123011130293 (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12301112995 and 12301113013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12301113089) 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, 6150556514 + 6150556515.

It is an arithmetic number, because the mean of its divisors is an integer number (6150556515).

Almost surely, 212301113029 is an apocalyptic number.

It is an amenable number.

12301113029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12301113029 is an equidigital number, since it uses as much as digits as its factorization.

12301113029 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 23.

The spelling of 12301113029 in words is "twelve billion, three hundred one million, one hundred thirteen thousand, twenty-nine".