Search a number
-
+
122303210201 is a prime number
BaseRepresentation
bin111000111100111010…
…1101110001011011001
3102200200112001210220222
41301321311232023121
54000434110211301
6132104010125425
711556534063644
oct1617165561331
9380615053828
10122303210201
1147960a79027
121b853120875
13b6c1414743
145cc31aca5b
1532ac2ad31b
hex1c79d6e2d9

122303210201 has 2 divisors, whose sum is σ = 122303210202. Its totient is φ = 122303210200.

The previous prime is 122303210191. The next prime is 122303210203. The reversal of 122303210201 is 102012303221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72272257225 + 50030952976 = 268835^2 + 223676^2 .

It is an emirp because it is prime and its reverse (102012303221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122303210201 - 210 = 122303209177 is a prime.

Together with 122303210203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122303210201.

It is not a weakly prime, because it can be changed into another prime (122303210203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61151605100 + 61151605101.

It is an arithmetic number, because the mean of its divisors is an integer number (61151605101).

Almost surely, 2122303210201 is an apocalyptic number.

It is an amenable number.

122303210201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122303210201 is an equidigital number, since it uses as much as digits as its factorization.

122303210201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122303210201 its reverse (102012303221), we get a palindrome (224315513422).

The spelling of 122303210201 in words is "one hundred twenty-two billion, three hundred three million, two hundred ten thousand, two hundred one".