Search a number
-
+
12033120293 is a prime number
BaseRepresentation
bin10110011010011101…
…01101100000100101
31011001121102211211222
423031032231200211
5144120434322133
65310011310125
7604122556235
oct131516554045
934047384758
1012033120293
115115423417
1223b9a4b345
131199c8cb2c
1482219dcc5
154a6613e98
hex2cd3ad825

12033120293 has 2 divisors, whose sum is σ = 12033120294. Its totient is φ = 12033120292.

The previous prime is 12033120283. The next prime is 12033120317. The reversal of 12033120293 is 39202133021.

12033120293 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., 8650302049 + 3382818244 = 93007^2 + 58162^2 .

It is a cyclic number.

It is not a de Polignac number, because 12033120293 - 24 = 12033120277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12033120263) 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, 6016560146 + 6016560147.

It is an arithmetic number, because the mean of its divisors is an integer number (6016560147).

Almost surely, 212033120293 is an apocalyptic number.

It is an amenable number.

12033120293 is a deficient number, since it is larger than the sum of its proper divisors (1).

12033120293 is an equidigital number, since it uses as much as digits as its factorization.

12033120293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 12033120293 in words is "twelve billion, thirty-three million, one hundred twenty thousand, two hundred ninety-three".