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111122032013 is a prime number
BaseRepresentation
bin110011101111101100…
…0111010010110001101
3101121211021201002221022
41213133120322112031
53310034220011023
6123014310443525
711012464454546
oct1473730722615
9347737632838
10111122032013
11431435433a3
12196526635a5
13a62bac2b85
1455422194cd
152d558817c8
hex19df63a58d

111122032013 has 2 divisors, whose sum is σ = 111122032014. Its totient is φ = 111122032012.

The previous prime is 111122032001. The next prime is 111122032067. The reversal of 111122032013 is 310230221111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108054866089 + 3067165924 = 328717^2 + 55382^2 .

It is an emirp because it is prime and its reverse (310230221111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111122032013 - 26 = 111122031949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111122031982 and 111122032000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111122032313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55561016006 + 55561016007.

It is an arithmetic number, because the mean of its divisors is an integer number (55561016007).

Almost surely, 2111122032013 is an apocalyptic number.

It is an amenable number.

111122032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111122032013 is an equidigital number, since it uses as much as digits as its factorization.

111122032013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 111122032013 its reverse (310230221111), we get a palindrome (421352253124).

The spelling of 111122032013 in words is "one hundred eleven billion, one hundred twenty-two million, thirty-two thousand, thirteen".