Search a number
-
+
112120132331321 is a prime number
BaseRepresentation
bin11001011111100100000000…
…101010001110011100111001
3112200222120122210120101000122
4121133210000222032130321
5104143434012334100241
61034243135553343025
732421261254140622
oct3137440052163471
9480876583511018
10112120132331321
11327a797680a624
12106a9771567a75
134a73b6327383a
141d98901542a49
15ce677e0d504b
hex65f900a8e739

112120132331321 has 2 divisors, whose sum is σ = 112120132331322. Its totient is φ = 112120132331320.

The previous prime is 112120132331309. The next prime is 112120132331323. The reversal of 112120132331321 is 123133231021211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104571178260025 + 7548954071296 = 10226005^2 + 2747536^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112120132331321 is a prime.

Together with 112120132331323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (112120132331323) 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, 56060066165660 + 56060066165661.

It is an arithmetic number, because the mean of its divisors is an integer number (56060066165661).

Almost surely, 2112120132331321 is an apocalyptic number.

It is an amenable number.

112120132331321 is a deficient number, since it is larger than the sum of its proper divisors (1).

112120132331321 is an equidigital number, since it uses as much as digits as its factorization.

112120132331321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 112120132331321 its reverse (123133231021211), we get a palindrome (235253363352532).

The spelling of 112120132331321 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred thirty-two million, three hundred thirty-one thousand, three hundred twenty-one".