Search a number
-
+
122201222233 is a prime number
BaseRepresentation
bin111000111001111000…
…0101010110001011001
3102200102102011021201211
41301303300222301121
54000232003102413
6132045524143121
711554155151636
oct1616360526131
9380372137654
10122201222233
1147909449a52
121b824b37aa1
13b6a625612c
145cb382118d
1532a336483d
hex1c73c2ac59

122201222233 has 2 divisors, whose sum is σ = 122201222234. Its totient is φ = 122201222232.

The previous prime is 122201222201. The next prime is 122201222257. The reversal of 122201222233 is 332222102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92506005904 + 29695216329 = 304148^2 + 172323^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201222233 - 25 = 122201222201 is a prime.

It is not a weakly prime, because it can be changed into another prime (122201222333) 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, 61100611116 + 61100611117.

It is an arithmetic number, because the mean of its divisors is an integer number (61100611117).

Almost surely, 2122201222233 is an apocalyptic number.

It is an amenable number.

122201222233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201222233 is an equidigital number, since it uses as much as digits as its factorization.

122201222233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 122201222233 its reverse (332222102221), we get a palindrome (454423324454).

The spelling of 122201222233 in words is "one hundred twenty-two billion, two hundred one million, two hundred twenty-two thousand, two hundred thirty-three".