Search a number
-
+
111101120216221 is a prime number
BaseRepresentation
bin11001010000101110111110…
…110011011111110010011101
3112120101011102002111102121111
4121100232332303133302131
5104030240043233404341
61032143052223302021
732254535221106602
oct3120567663376235
9476334362442544
10111101120216221
11324447a1a64213
121056418444a911
1349cba38188065
141d614740ca6a9
15cc9edd6de681
hex650bbecdfc9d

111101120216221 has 2 divisors, whose sum is σ = 111101120216222. Its totient is φ = 111101120216220.

The previous prime is 111101120216213. The next prime is 111101120216237. The reversal of 111101120216221 is 122612021101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84472826628100 + 26628293588121 = 9190910^2 + 5160261^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101120216221 - 23 = 111101120216213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111101120216192 and 111101120216201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111101120216521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550560108110 + 55550560108111.

It is an arithmetic number, because the mean of its divisors is an integer number (55550560108111).

Almost surely, 2111101120216221 is an apocalyptic number.

It is an amenable number.

111101120216221 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101120216221 is an equidigital number, since it uses as much as digits as its factorization.

111101120216221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 22.

Adding to 111101120216221 its reverse (122612021101111), we get a palindrome (233713141317332).

The spelling of 111101120216221 in words is "one hundred eleven trillion, one hundred one billion, one hundred twenty million, two hundred sixteen thousand, two hundred twenty-one".