Search a number
-
+
111113223101 is a prime number
BaseRepresentation
bin110011101111011011…
…1010011101110111101
3101121210200010120101022
41213132313103232331
53310024441114401
6123013353553525
711012326545566
oct1473667235675
9347720116338
10111113223101
1143139577101
121964b7158a5
13a62a02a4ba
145540da516d
152d54be171b
hex19dedd3bbd

111113223101 has 2 divisors, whose sum is σ = 111113223102. Its totient is φ = 111113223100.

The previous prime is 111113222999. The next prime is 111113223107. The reversal of 111113223101 is 101322311111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95094523876 + 16018699225 = 308374^2 + 126565^2 .

It is a cyclic number.

It is not a de Polignac number, because 111113223101 - 218 = 111112960957 is a prime.

It is a super-2 number, since 2×1111132231012 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 111113223101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111113223107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55556611550 + 55556611551.

It is an arithmetic number, because the mean of its divisors is an integer number (55556611551).

Almost surely, 2111113223101 is an apocalyptic number.

It is an amenable number.

111113223101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111113223101 is an equidigital number, since it uses as much as digits as its factorization.

111113223101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 111113223101 its reverse (101322311111), we get a palindrome (212435534212).

The spelling of 111113223101 in words is "one hundred eleven billion, one hundred thirteen million, two hundred twenty-three thousand, one hundred one".