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122213003329 is a prime number
BaseRepresentation
bin111000111010001110…
…1100111000001000001
3102200110020022211100201
41301310131213001001
54000243012101304
6132051024445201
711554360250104
oct1616435470101
9380406284321
10122213003329
114791506629a
121b828a79801
13b6a881c5b1
145cb520a73b
1532a43e03a4
hex1c74767041

122213003329 has 2 divisors, whose sum is σ = 122213003330. Its totient is φ = 122213003328.

The previous prime is 122213003317. The next prime is 122213003431. The reversal of 122213003329 is 923300312221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121834506304 + 378497025 = 349048^2 + 19455^2 .

It is a cyclic number.

It is not a de Polignac number, because 122213003329 - 27 = 122213003201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122213003297 and 122213003306.

It is not a weakly prime, because it can be changed into another prime (122213093329) 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, 61106501664 + 61106501665.

It is an arithmetic number, because the mean of its divisors is an integer number (61106501665).

Almost surely, 2122213003329 is an apocalyptic number.

It is an amenable number.

122213003329 is a deficient number, since it is larger than the sum of its proper divisors (1).

122213003329 is an equidigital number, since it uses as much as digits as its factorization.

122213003329 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 122213003329 in words is "one hundred twenty-two billion, two hundred thirteen million, three thousand, three hundred twenty-nine".