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22123323422129 is a prime number
BaseRepresentation
bin1010000011110111111001…
…10101010111010110110001
32220022222011110002022012202
411001323330311113112301
510344432031244002004
6115015151532032545
74442233402225466
oct501737465272661
986288143068182
1022123323422129
11705a4a33551a6
122593794302755
13c462b3425727
14566abb5a966d
15285729996b1e
hex141efcd575b1

22123323422129 has 2 divisors, whose sum is σ = 22123323422130. Its totient is φ = 22123323422128.

The previous prime is 22123323422099. The next prime is 22123323422131. The reversal of 22123323422129 is 92122432332122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22111173871504 + 12149550625 = 4702252^2 + 110225^2 .

It is a cyclic number.

It is not a de Polignac number, because 22123323422129 - 216 = 22123323356593 is a prime.

Together with 22123323422131, 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 = 22123323422092 and 22123323422101.

It is not a weakly prime, because it can be changed into another prime (22123323422329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061661711064 + 11061661711065.

It is an arithmetic number, because the mean of its divisors is an integer number (11061661711065).

Almost surely, 222123323422129 is an apocalyptic number.

It is an amenable number.

22123323422129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123323422129 is an equidigital number, since it uses as much as digits as its factorization.

22123323422129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 124416, while the sum is 38.

The spelling of 22123323422129 in words is "twenty-two trillion, one hundred twenty-three billion, three hundred twenty-three million, four hundred twenty-two thousand, one hundred twenty-nine".