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122232300193 is a prime number
BaseRepresentation
bin111000111010110011…
…1001110001010100001
3102200111120122012200101
41301311213032022201
54000312432101233
6132052554222401
711555013260143
oct1616547161241
9380446565611
10122232300193
1147924a46313
121b833424a01
13b6ac817963
145cb79d0c93
1532a5e52c7d
hex1c759ce2a1

122232300193 has 2 divisors, whose sum is σ = 122232300194. Its totient is φ = 122232300192.

The previous prime is 122232300181. The next prime is 122232300293. The reversal of 122232300193 is 391003232221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110527656849 + 11704643344 = 332457^2 + 108188^2 .

It is a cyclic number.

It is not a de Polignac number, because 122232300193 - 25 = 122232300161 is a prime.

It is not a weakly prime, because it can be changed into another prime (122232300103) 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, 61116150096 + 61116150097.

It is an arithmetic number, because the mean of its divisors is an integer number (61116150097).

Almost surely, 2122232300193 is an apocalyptic number.

It is an amenable number.

122232300193 is a deficient number, since it is larger than the sum of its proper divisors (1).

122232300193 is an equidigital number, since it uses as much as digits as its factorization.

122232300193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 122232300193 in words is "one hundred twenty-two billion, two hundred thirty-two million, three hundred thousand, one hundred ninety-three".