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122202001993 is a prime number
BaseRepresentation
bin111000111001111001…
…1101001001001001001
3102200102110121220100211
41301303303221021021
54000232203030433
6132045553001121
711554164610201
oct1616363511111
9380373556324
10122202001993
1147909931885
121b8252531a1
13b6a646a026
145cb3985401
1532a346a8cd
hex1c73ce9249

122202001993 has 2 divisors, whose sum is σ = 122202001994. Its totient is φ = 122202001992.

The previous prime is 122202001963. The next prime is 122202002063. The reversal of 122202001993 is 399100202221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115279262784 + 6922739209 = 339528^2 + 83203^2 .

It is a cyclic number.

It is not a de Polignac number, because 122202001993 - 213 = 122201993801 is a prime.

It is not a weakly prime, because it can be changed into another prime (122202001963) 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, 61101000996 + 61101000997.

It is an arithmetic number, because the mean of its divisors is an integer number (61101000997).

Almost surely, 2122202001993 is an apocalyptic number.

It is an amenable number.

122202001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122202001993 is an equidigital number, since it uses as much as digits as its factorization.

122202001993 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 31.

The spelling of 122202001993 in words is "one hundred twenty-two billion, two hundred two million, one thousand, nine hundred ninety-three".