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12334334401 is a prime number
BaseRepresentation
bin10110111110010111…
…10000000111000001
31011211121020002221001
423133023300013001
5200230042200101
65355531332001
7614441053414
oct133713600701
934747202831
1012334334401
11525a456aa4
1224828b1001
1312174c442c
148501abb7b
154c2cb2901
hex2df2f01c1

12334334401 has 2 divisors, whose sum is σ = 12334334402. Its totient is φ = 12334334400.

The previous prime is 12334334303. The next prime is 12334334429. The reversal of 12334334401 is 10443343321.

12334334401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (12334334429) can be obtained adding 12334334401 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11475551376 + 858783025 = 107124^2 + 29305^2 .

It is a cyclic number.

It is not a de Polignac number, because 12334334401 - 221 = 12332237249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12334334401.

It is not a weakly prime, because it can be changed into another prime (12334334431) 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, 6167167200 + 6167167201.

It is an arithmetic number, because the mean of its divisors is an integer number (6167167201).

Almost surely, 212334334401 is an apocalyptic number.

It is an amenable number.

12334334401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12334334401 is an equidigital number, since it uses as much as digits as its factorization.

12334334401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 12334334401 its reverse (10443343321), we get a palindrome (22777677722).

The spelling of 12334334401 in words is "twelve billion, three hundred thirty-four million, three hundred thirty-four thousand, four hundred one".