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122220203249 is a prime number
BaseRepresentation
bin111000111010011100…
…1000100110011110001
3102200110201212121210102
41301310321010303301
54000301333000444
6132051443042145
711554505405114
oct1616471046361
9380421777712
10122220203249
1147919133741
121b82b370355
13b6aa1707c1
145cb616257b
1532a4d6384e
hex1c74e44cf1

122220203249 has 2 divisors, whose sum is σ = 122220203250. Its totient is φ = 122220203248.

The previous prime is 122220203221. The next prime is 122220203251. The reversal of 122220203249 is 942302022221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66354153649 + 55866049600 = 257593^2 + 236360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122220203249 is a prime.

Together with 122220203251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122220203219) 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, 61110101624 + 61110101625.

It is an arithmetic number, because the mean of its divisors is an integer number (61110101625).

Almost surely, 2122220203249 is an apocalyptic number.

It is an amenable number.

122220203249 is a deficient number, since it is larger than the sum of its proper divisors (1).

122220203249 is an equidigital number, since it uses as much as digits as its factorization.

122220203249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 122220203249 in words is "one hundred twenty-two billion, two hundred twenty million, two hundred three thousand, two hundred forty-nine".