Search a number
-
+
122201012191 is a prime number
BaseRepresentation
bin111000111001110111…
…1110111011111011111
3102200102101202121121111
41301303233313133133
54000231424342231
6132045515442451
711554153315366
oct1616357673737
9380371677544
10122201012191
1147909316165
121b824a56427
13b6a61b164b
145cb37a87dd
1532a33224b1
hex1c73bf77df

122201012191 has 2 divisors, whose sum is σ = 122201012192. Its totient is φ = 122201012190.

The previous prime is 122201012177. The next prime is 122201012221. The reversal of 122201012191 is 191210102221.

It is a weak prime.

It is an emirp because it is prime and its reverse (191210102221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122201012191 - 25 = 122201012159 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122201012291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100506095 + 61100506096.

It is an arithmetic number, because the mean of its divisors is an integer number (61100506096).

Almost surely, 2122201012191 is an apocalyptic number.

122201012191 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201012191 is an equidigital number, since it uses as much as digits as its factorization.

122201012191 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 122201012191 in words is "one hundred twenty-two billion, two hundred one million, twelve thousand, one hundred ninety-one".