Search a number
-
+
12033322129 is a prime number
BaseRepresentation
bin10110011010011110…
…11110110010010001
31011001121211002201101
423031033132302101
5144121012302004
65310015504401
7604124356543
oct131517366221
934047732641
1012033322129
115115551024
1223b9b28101
13119a03096a
14822213693
154a6653ba4
hex2cd3dec91

12033322129 has 2 divisors, whose sum is σ = 12033322130. Its totient is φ = 12033322128.

The previous prime is 12033322097. The next prime is 12033322153. The reversal of 12033322129 is 92122333021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9929723904 + 2103598225 = 99648^2 + 45865^2 .

It is a cyclic number.

It is not a de Polignac number, because 12033322129 - 25 = 12033322097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12033322097 and 12033322106.

It is not a weakly prime, because it can be changed into another prime (12033322199) 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, 6016661064 + 6016661065.

It is an arithmetic number, because the mean of its divisors is an integer number (6016661065).

Almost surely, 212033322129 is an apocalyptic number.

It is an amenable number.

12033322129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12033322129 is an equidigital number, since it uses as much as digits as its factorization.

12033322129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 12033322129 in words is "twelve billion, thirty-three million, three hundred twenty-two thousand, one hundred twenty-nine".