Search a number
-
+
122222002193 is a prime number
BaseRepresentation
bin111000111010011111…
…1111100000000010001
3102200110212021000110222
41301310333330000101
54000302313032233
6132051545402425
711554526606624
oct1616477740021
9380425230428
10122222002193
114791a152275
121b82ba99415
13b6aa650575
145cb64addbb
1532a50bb898
hex1c74ffc011

122222002193 has 2 divisors, whose sum is σ = 122222002194. Its totient is φ = 122222002192.

The previous prime is 122222002187. The next prime is 122222002213. The reversal of 122222002193 is 391200222221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100572705424 + 21649296769 = 317132^2 + 147137^2 .

It is a cyclic number.

It is not a de Polignac number, because 122222002193 - 212 = 122221998097 is a prime.

It is not a weakly prime, because it can be changed into another prime (122222002153) 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, 61111001096 + 61111001097.

It is an arithmetic number, because the mean of its divisors is an integer number (61111001097).

Almost surely, 2122222002193 is an apocalyptic number.

It is an amenable number.

122222002193 is a deficient number, since it is larger than the sum of its proper divisors (1).

122222002193 is an equidigital number, since it uses as much as digits as its factorization.

122222002193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 122222002193 in words is "one hundred twenty-two billion, two hundred twenty-two million, two thousand, one hundred ninety-three".