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122222211111193 is a prime number
BaseRepresentation
bin11011110010100100010011…
…011110100001100100011001
3121000202022220001000220222211
4123302210103132201210121
5112004442042021024233
61111540035245115121
734513156221030364
oct3362442336414431
9530668801026884
10122222211111193
1135a4216a933836
121185b597258aa1
1353276747a9a4b
14222782d8170db
15e1e4309d75cd
hex6f29137a1919

122222211111193 has 2 divisors, whose sum is σ = 122222211111194. Its totient is φ = 122222211111192.

The previous prime is 122222211111167. The next prime is 122222211111197. The reversal of 122222211111193 is 391111112222221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109811788308544 + 12410422802649 = 10479112^2 + 3522843^2 .

It is a cyclic number.

It is not a de Polignac number, because 122222211111193 - 245 = 87037839022361 is a prime.

It is not a weakly prime, because it can be changed into another prime (122222211111197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61111105555596 + 61111105555597.

It is an arithmetic number, because the mean of its divisors is an integer number (61111105555597).

Almost surely, 2122222211111193 is an apocalyptic number.

It is an amenable number.

122222211111193 is a deficient number, since it is larger than the sum of its proper divisors (1).

122222211111193 is an equidigital number, since it uses as much as digits as its factorization.

122222211111193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 31.

The spelling of 122222211111193 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred eleven million, one hundred eleven thousand, one hundred ninety-three".