Search a number
-
+
12111334140133 is a prime number
BaseRepresentation
bin1011000000111110001111…
…0001001110100011100101
31120212211110200220102101001
42300033203301032203211
53041413003014441013
641431511535033301
72360005102414234
oct260174361164345
946784420812331
1012111334140133
11394a42a420168
12143731136b831
1369b12b419007
142dc29804cb1b
1516009c1edddd
hexb03e3c4e8e5

12111334140133 has 2 divisors, whose sum is σ = 12111334140134. Its totient is φ = 12111334140132.

The previous prime is 12111334140109. The next prime is 12111334140161. The reversal of 12111334140133 is 33104143311121.

12111334140133 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 (12111334140161) can be obtained adding 12111334140133 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8795358695809 + 3315975444324 = 2965697^2 + 1820982^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111334140133 - 29 = 12111334139621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12111334140233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055667070066 + 6055667070067.

It is an arithmetic number, because the mean of its divisors is an integer number (6055667070067).

Almost surely, 212111334140133 is an apocalyptic number.

It is an amenable number.

12111334140133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111334140133 is an equidigital number, since it uses as much as digits as its factorization.

12111334140133 is an evil number, because the sum of its binary digits is even.

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

Adding to 12111334140133 its reverse (33104143311121), we get a palindrome (45215477451254).

The spelling of 12111334140133 in words is "twelve trillion, one hundred eleven billion, three hundred thirty-four million, one hundred forty thousand, one hundred thirty-three".