Search a number
-
+
122313032220221 is a prime number
BaseRepresentation
bin11011110011111000111000…
…110101100011111000111101
3121001002000022111222021221122
4123303320320311203320331
5112012434042222021341
61112045455320440325
734522552650515663
oct3363707065437075
9531060274867848
10122313032220221
1135a77735aa3227
12118751030190a5
1353330b976304b
14222bda77b6c33
15e21998eaa94b
hex6f3e38d63e3d

122313032220221 has 2 divisors, whose sum is σ = 122313032220222. Its totient is φ = 122313032220220.

The previous prime is 122313032220167. The next prime is 122313032220263. The reversal of 122313032220221 is 122022230313221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84441488532025 + 37871543688196 = 9189205^2 + 6153986^2 .

It is a cyclic number.

It is not a de Polignac number, because 122313032220221 - 226 = 122312965111357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122313032220271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156516110110 + 61156516110111.

It is an arithmetic number, because the mean of its divisors is an integer number (61156516110111).

Almost surely, 2122313032220221 is an apocalyptic number.

It is an amenable number.

122313032220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313032220221 is an equidigital number, since it uses as much as digits as its factorization.

122313032220221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 122313032220221 its reverse (122022230313221), we get a palindrome (244335262533442).

The spelling of 122313032220221 in words is "one hundred twenty-two trillion, three hundred thirteen billion, thirty-two million, two hundred twenty thousand, two hundred twenty-one".