Search a number
-
+
122232220301 is a prime number
BaseRepresentation
bin111000111010110011…
…0111010101010001101
3102200111120111011002102
41301311212322222031
54000312422022201
6132052552404445
711555012505212
oct1616546725215
9380446434072
10122232220301
11479249a1294
121b8333a6725
13b6ac7ba499
145cb79adb09
1532a5e3926b
hex1c759baa8d

122232220301 has 2 divisors, whose sum is σ = 122232220302. Its totient is φ = 122232220300.

The previous prime is 122232220283. The next prime is 122232220309. The reversal of 122232220301 is 103022232221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120304922500 + 1927297801 = 346850^2 + 43901^2 .

It is a cyclic number.

It is not a de Polignac number, because 122232220301 - 214 = 122232203917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122232220309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61116110150 + 61116110151.

It is an arithmetic number, because the mean of its divisors is an integer number (61116110151).

Almost surely, 2122232220301 is an apocalyptic number.

It is an amenable number.

122232220301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122232220301 is an equidigital number, since it uses as much as digits as its factorization.

122232220301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122232220301 its reverse (103022232221), we get a palindrome (225254452522).

The spelling of 122232220301 in words is "one hundred twenty-two billion, two hundred thirty-two million, two hundred twenty thousand, three hundred one".