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31223223329 is a prime number
BaseRepresentation
bin11101000101000011…
…001001010000100001
32222121000000002022212
4131011003021100201
51002421121121304
622202130011505
72153512006424
oct350503112041
988530002285
1031223223329
1112272771901
126074716b95
132c3792ab9c
141722aa19bb
15c2b20066e
hex7450c9421

31223223329 has 2 divisors, whose sum is σ = 31223223330. Its totient is φ = 31223223328.

The previous prime is 31223223293. The next prime is 31223223331. The reversal of 31223223329 is 92332232213.

Together with previous prime (31223223293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24304810000 + 6918413329 = 155900^2 + 83177^2 .

It is a cyclic number.

It is not a de Polignac number, because 31223223329 - 216 = 31223157793 is a prime.

Together with 31223223331, 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 = 31223223295 and 31223223304.

It is not a weakly prime, because it can be changed into another prime (31223223029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15611611664 + 15611611665.

It is an arithmetic number, because the mean of its divisors is an integer number (15611611665).

Almost surely, 231223223329 is an apocalyptic number.

It is an amenable number.

31223223329 is a deficient number, since it is larger than the sum of its proper divisors (1).

31223223329 is an equidigital number, since it uses as much as digits as its factorization.

31223223329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 32.

The spelling of 31223223329 in words is "thirty-one billion, two hundred twenty-three million, two hundred twenty-three thousand, three hundred twenty-nine".