Search a number
-
+
110223323101 is a prime number
BaseRepresentation
bin110011010100111010…
…0100110111111011101
3101112111122121222002001
41212221310212333131
53301214132314401
6122345204202301
710651302534133
oct1465164467735
9345448558061
10110223323101
1142822213061
1219441699391
13a51785c058
145498b17753
152d01a0c601
hex19a9d26fdd

110223323101 has 2 divisors, whose sum is σ = 110223323102. Its totient is φ = 110223323100.

The previous prime is 110223323083. The next prime is 110223323117. The reversal of 110223323101 is 101323322011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109643765625 + 579557476 = 331125^2 + 24074^2 .

It is a cyclic number.

It is not a de Polignac number, because 110223323101 - 25 = 110223323069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110223321101) 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, 55111661550 + 55111661551.

It is an arithmetic number, because the mean of its divisors is an integer number (55111661551).

Almost surely, 2110223323101 is an apocalyptic number.

It is an amenable number.

110223323101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110223323101 is an equidigital number, since it uses as much as digits as its factorization.

110223323101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 110223323101 its reverse (101323322011), we get a palindrome (211546645112).

The spelling of 110223323101 in words is "one hundred ten billion, two hundred twenty-three million, three hundred twenty-three thousand, one hundred one".