Search a number
-
+
121113310330301 is a prime number
BaseRepresentation
bin11011100010011011100011…
…110101101111110110111101
3120212211022121211120122021112
4123202123203311233312331
5111333310024421032201
61105330404153011405
734340101506642332
oct3342334365576675
9525738554518245
10121113310330301
113565495929a383
12117006a26b3b65
135276c22980723
1421c9cb61a4989
15e0067d9080bb
hex6e26e3d6fdbd

121113310330301 has 2 divisors, whose sum is σ = 121113310330302. Its totient is φ = 121113310330300.

The previous prime is 121113310330297. The next prime is 121113310330303. The reversal of 121113310330301 is 103033013311121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113162235675076 + 7951074655225 = 10637774^2 + 2819765^2 .

It is a cyclic number.

It is not a de Polignac number, because 121113310330301 - 22 = 121113310330297 is a prime.

It is a Sophie Germain prime.

Together with 121113310330303, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121113310330303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60556655165150 + 60556655165151.

It is an arithmetic number, because the mean of its divisors is an integer number (60556655165151).

Almost surely, 2121113310330301 is an apocalyptic number.

It is an amenable number.

121113310330301 is a deficient number, since it is larger than the sum of its proper divisors (1).

121113310330301 is an equidigital number, since it uses as much as digits as its factorization.

121113310330301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 121113310330301 its reverse (103033013311121), we get a palindrome (224146323641422).

The spelling of 121113310330301 in words is "one hundred twenty-one trillion, one hundred thirteen billion, three hundred ten million, three hundred thirty thousand, three hundred one".