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122213172049 is a prime number
BaseRepresentation
bin111000111010001111…
…0010000001101010001
3102200110020122101210121
41301310132100031101
54000243033001144
6132051032230241
711554361552023
oct1616436201521
9380406571717
10122213172049
1147915171031
121b828b3b381
13b6a887b327
145cb5252013
1532a4425384
hex1c74790351

122213172049 has 2 divisors, whose sum is σ = 122213172050. Its totient is φ = 122213172048.

The previous prime is 122213172031. The next prime is 122213172083. The reversal of 122213172049 is 940271312221.

It is an a-pointer prime, because the next prime (122213172083) can be obtained adding 122213172049 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97456352400 + 24756819649 = 312180^2 + 157343^2 .

It is a cyclic number.

It is not a de Polignac number, because 122213172049 - 29 = 122213171537 is a prime.

It is not a weakly prime, because it can be changed into another prime (122213172149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106586024 + 61106586025.

It is an arithmetic number, because the mean of its divisors is an integer number (61106586025).

Almost surely, 2122213172049 is an apocalyptic number.

It is an amenable number.

122213172049 is a deficient number, since it is larger than the sum of its proper divisors (1).

122213172049 is an equidigital number, since it uses as much as digits as its factorization.

122213172049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 122213172049 in words is "one hundred twenty-two billion, two hundred thirteen million, one hundred seventy-two thousand, forty-nine".