Search a number
-
+
122302340417 is a prime number
BaseRepresentation
bin111000111100111001…
…0011001110101000001
3102200200110102121210202
41301321302121311001
54000433344343132
6132103535334545
711556523512065
oct1617162316501
9380613377722
10122302340417
11479605345a4
121b852981455
13b6c119b88a
145cc3023aa5
1532ac18a762
hex1c79c99d41

122302340417 has 2 divisors, whose sum is σ = 122302340418. Its totient is φ = 122302340416.

The previous prime is 122302340399. The next prime is 122302340497. The reversal of 122302340417 is 714043203221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122194990096 + 107350321 = 349564^2 + 10361^2 .

It is an emirp because it is prime and its reverse (714043203221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122302340417 - 218 = 122302078273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122302340417.

It is not a weakly prime, because it can be changed into another prime (122302340497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61151170208 + 61151170209.

It is an arithmetic number, because the mean of its divisors is an integer number (61151170209).

Almost surely, 2122302340417 is an apocalyptic number.

It is an amenable number.

122302340417 is a deficient number, since it is larger than the sum of its proper divisors (1).

122302340417 is an equidigital number, since it uses as much as digits as its factorization.

122302340417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 122302340417 its reverse (714043203221), we get a palindrome (836345543638).

The spelling of 122302340417 in words is "one hundred twenty-two billion, three hundred two million, three hundred forty thousand, four hundred seventeen".