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12331122049 is a prime number
BaseRepresentation
bin10110111101111110…
…11111110110000001
31011211101011220102001
423132333133312001
5200223231401144
65355334424001
7614401544101
oct133677376601
934741156361
1012331122049
115258662564
122481802001
13121693b22c
1484d9b3201
154c287abd4
hex2defdfd81

12331122049 has 2 divisors, whose sum is σ = 12331122050. Its totient is φ = 12331122048.

The previous prime is 12331122029. The next prime is 12331122073. The reversal of 12331122049 is 94022113321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8405222400 + 3925899649 = 91680^2 + 62657^2 .

It is an emirp because it is prime and its reverse (94022113321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12331122049 - 211 = 12331120001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12331122019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165561024 + 6165561025.

It is an arithmetic number, because the mean of its divisors is an integer number (6165561025).

Almost surely, 212331122049 is an apocalyptic number.

It is an amenable number.

12331122049 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331122049 is an equidigital number, since it uses as much as digits as its factorization.

12331122049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 12331122049 in words is "twelve billion, three hundred thirty-one million, one hundred twenty-two thousand, forty-nine".