Search a number
-
+
122210102233 is a prime number
BaseRepresentation
bin111000111010001001…
…0100010101111011001
3102200110000212102210201
41301310102202233121
54000241241232413
6132050442342201
711554323505102
oct1616422425731
9380400772721
10122210102233
114791346469a
121b827aba961
13b6a8044c7b
145cb4a933a9
1532a401a9dd
hex1c744a2bd9

122210102233 has 2 divisors, whose sum is σ = 122210102234. Its totient is φ = 122210102232.

The previous prime is 122210102221. The next prime is 122210102237. The reversal of 122210102233 is 332201012221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75626650009 + 46583452224 = 275003^2 + 215832^2 .

It is a cyclic number.

It is not a de Polignac number, because 122210102233 - 221 = 122208005081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122210102233.

It is not a weakly prime, because it can be changed into another prime (122210102237) 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, 61105051116 + 61105051117.

It is an arithmetic number, because the mean of its divisors is an integer number (61105051117).

Almost surely, 2122210102233 is an apocalyptic number.

It is an amenable number.

122210102233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210102233 is an equidigital number, since it uses as much as digits as its factorization.

122210102233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122210102233 its reverse (332201012221), we get a palindrome (454411114454).

The spelling of 122210102233 in words is "one hundred twenty-two billion, two hundred ten million, one hundred two thousand, two hundred thirty-three".