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13222111021393 is a prime number
BaseRepresentation
bin1100000001101000001100…
…1110110000100101010001
31201211000120122120110222011
43000122003032300211101
53213112340410141033
644042053130342521
72533160144211541
oct300320316604521
951730518513864
1013222111021393
114238513a7659a
12159664a28aa41
1374babbb2b7b1
14339d4c907321
1517de0dd69ccd
hexc06833b0951

13222111021393 has 2 divisors, whose sum is σ = 13222111021394. Its totient is φ = 13222111021392.

The previous prime is 13222111021381. The next prime is 13222111021417. The reversal of 13222111021393 is 39312011122231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13200890689809 + 21220331584 = 3633303^2 + 145672^2 .

It is a cyclic number.

It is not a de Polignac number, because 13222111021393 - 217 = 13222110890321 is a prime.

It is not a weakly prime, because it can be changed into another prime (13222111021193) 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, 6611055510696 + 6611055510697.

It is an arithmetic number, because the mean of its divisors is an integer number (6611055510697).

Almost surely, 213222111021393 is an apocalyptic number.

It is an amenable number.

13222111021393 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222111021393 is an equidigital number, since it uses as much as digits as its factorization.

13222111021393 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 13222111021393 in words is "thirteen trillion, two hundred twenty-two billion, one hundred eleven million, twenty-one thousand, three hundred ninety-three".