Search a number
-
+
122201121193 is a prime number
BaseRepresentation
bin111000111001111000…
…0010010000110101001
3102200102101222011010121
41301303300102012221
54000231441334233
6132045522043241
711554154251234
oct1616360220651
9380371864117
10122201121193
1147909390048
121b824aa9521
13b6a621c148
145cb37d641b
1532a334492d
hex1c73c121a9

122201121193 has 2 divisors, whose sum is σ = 122201121194. Its totient is φ = 122201121192.

The previous prime is 122201121187. The next prime is 122201121227. The reversal of 122201121193 is 391121102221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103087229184 + 19113892009 = 321072^2 + 138253^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201121193 - 29 = 122201120681 is a prime.

It is a super-2 number, since 2×1222011211932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122201121893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100560596 + 61100560597.

It is an arithmetic number, because the mean of its divisors is an integer number (61100560597).

Almost surely, 2122201121193 is an apocalyptic number.

It is an amenable number.

122201121193 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201121193 is an equidigital number, since it uses as much as digits as its factorization.

122201121193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 122201121193 in words is "one hundred twenty-two billion, two hundred one million, one hundred twenty-one thousand, one hundred ninety-three".