Search a number
-
+
122233110121 is a prime number
BaseRepresentation
bin111000111010110101…
…0010011111001101001
3102200111122011100200201
41301311222103321221
54000313134010441
6132053023432201
711555023202353
oct1616552237151
9380448140621
10122233110121
1147925449881
121b833755661
13b6aca3c4c5
145cb7b620d3
1532a6062c31
hex1c75a93e69

122233110121 has 2 divisors, whose sum is σ = 122233110122. Its totient is φ = 122233110120.

The previous prime is 122233110101. The next prime is 122233110203. The reversal of 122233110121 is 121011332221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120642296896 + 1590813225 = 347336^2 + 39885^2 .

It is a cyclic number.

It is not a de Polignac number, because 122233110121 - 25 = 122233110089 is a prime.

It is not a weakly prime, because it can be changed into another prime (122233110101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61116555060 + 61116555061.

It is an arithmetic number, because the mean of its divisors is an integer number (61116555061).

Almost surely, 2122233110121 is an apocalyptic number.

It is an amenable number.

122233110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122233110121 is an equidigital number, since it uses as much as digits as its factorization.

122233110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122233110121 its reverse (121011332221), we get a palindrome (243244442342).

The spelling of 122233110121 in words is "one hundred twenty-two billion, two hundred thirty-three million, one hundred ten thousand, one hundred twenty-one".