Search a number
-
+
11331121222301 is a prime number
BaseRepresentation
bin1010010011100011101101…
…1101001001001010011101
31111010020121022122121021112
42210320323131021022131
52441122114013103201
640033240100311405
72246434514140346
oct244707335111235
944106538577245
1011331121222301
11367955758a141
1213300696a2565
1364269b9b92aa
142b26019c70cd
15149b3611b0bb
hexa4e3b74929d

11331121222301 has 2 divisors, whose sum is σ = 11331121222302. Its totient is φ = 11331121222300.

The previous prime is 11331121222219. The next prime is 11331121222303. The reversal of 11331121222301 is 10322212113311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6408163159225 + 4922958063076 = 2531435^2 + 2218774^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331121222301 - 214 = 11331121205917 is a prime.

Together with 11331121222303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331121222303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665560611150 + 5665560611151.

It is an arithmetic number, because the mean of its divisors is an integer number (5665560611151).

Almost surely, 211331121222301 is an apocalyptic number.

It is an amenable number.

11331121222301 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331121222301 is an equidigital number, since it uses as much as digits as its factorization.

11331121222301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 11331121222301 its reverse (10322212113311), we get a palindrome (21653333335612).

The spelling of 11331121222301 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, two hundred twenty-two thousand, three hundred one".