Search a number
-
+
12189311833 is a prime number
BaseRepresentation
bin10110101101000101…
…00010001101011001
31011110111100012100211
423112202202031121
5144430430434313
65333311131121
7611030304166
oct132642421531
934414305324
1012189311833
115195604436
122442213aa1
1311c3448c6a
14838c1b06d
154b51b7e3d
hex2d68a2359

12189311833 has 2 divisors, whose sum is σ = 12189311834. Its totient is φ = 12189311832.

The previous prime is 12189311807. The next prime is 12189311837. The reversal of 12189311833 is 33811398121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9810506304 + 2378805529 = 99048^2 + 48773^2 .

It is an emirp because it is prime and its reverse (33811398121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12189311833 - 213 = 12189303641 is a prime.

It is a super-2 number, since 2×121893118332 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12189311837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6094655916 + 6094655917.

It is an arithmetic number, because the mean of its divisors is an integer number (6094655917).

Almost surely, 212189311833 is an apocalyptic number.

It is an amenable number.

12189311833 is a deficient number, since it is larger than the sum of its proper divisors (1).

12189311833 is an equidigital number, since it uses as much as digits as its factorization.

12189311833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31104, while the sum is 40.

The spelling of 12189311833 in words is "twelve billion, one hundred eighty-nine million, three hundred eleven thousand, eight hundred thirty-three".