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20221221329 is a prime number
BaseRepresentation
bin10010110101010001…
…110101100111010001
31221012020210110212022
4102311101311213101
5312403113040304
613142310541225
71314046355021
oct226521654721
957166713768
1020221221329
118637396971
123b04067815
131ba348222a
14d9b82da81
157d53b7ebe
hex4b54759d1

20221221329 has 2 divisors, whose sum is σ = 20221221330. Its totient is φ = 20221221328.

The previous prime is 20221221301. The next prime is 20221221331. The reversal of 20221221329 is 92312212202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18913675729 + 1307545600 = 137527^2 + 36160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20221221329 is a prime.

Together with 20221221331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 20221221298 and 20221221307.

It is not a weakly prime, because it can be changed into another prime (20221220329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10110610664 + 10110610665.

It is an arithmetic number, because the mean of its divisors is an integer number (10110610665).

Almost surely, 220221221329 is an apocalyptic number.

It is an amenable number.

20221221329 is a deficient number, since it is larger than the sum of its proper divisors (1).

20221221329 is an equidigital number, since it uses as much as digits as its factorization.

20221221329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 20221221329 in words is "twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, three hundred twenty-nine".