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110033311217 is a prime number
BaseRepresentation
bin110011001111001111…
…1110001010111110001
3101112000102002100202212
41212132133301113301
53300322011424332
6122314255421505
710643504466464
oct1463637612761
9345012070685
10110033311217
1142734a32345
12193a9b24895
13a4b739109b
14547b7b52db
152cdeec78b2
hex199e7f15f1

110033311217 has 2 divisors, whose sum is σ = 110033311218. Its totient is φ = 110033311216.

The previous prime is 110033311169. The next prime is 110033311229. The reversal of 110033311217 is 712113330011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62982929296 + 47050381921 = 250964^2 + 216911^2 .

It is a cyclic number.

It is not a de Polignac number, because 110033311217 - 228 = 109764875761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110033311192 and 110033311201.

It is not a weakly prime, because it can be changed into another prime (110033311247) 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, 55016655608 + 55016655609.

It is an arithmetic number, because the mean of its divisors is an integer number (55016655609).

Almost surely, 2110033311217 is an apocalyptic number.

It is an amenable number.

110033311217 is a deficient number, since it is larger than the sum of its proper divisors (1).

110033311217 is an equidigital number, since it uses as much as digits as its factorization.

110033311217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 110033311217 its reverse (712113330011), we get a palindrome (822146641228).

The spelling of 110033311217 in words is "one hundred ten billion, thirty-three million, three hundred eleven thousand, two hundred seventeen".