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222120322033 is a prime number
BaseRepresentation
bin1100111011011101100…
…1110010001111110001
3210020022221120110202211
43032313121302033301
512114400300301113
6250012441212121
722022230404541
oct3166731621761
9706287513684
10222120322033
1186223149585
123706b791041
1317c3b07b81c
14aa71c23321
155ba041db3d
hex33b76723f1

222120322033 has 2 divisors, whose sum is σ = 222120322034. Its totient is φ = 222120322032.

The previous prime is 222120322031. The next prime is 222120322051. The reversal of 222120322033 is 330223021222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175588655089 + 46531666944 = 419033^2 + 215712^2 .

It is a cyclic number.

It is not a de Polignac number, because 222120322033 - 21 = 222120322031 is a prime.

Together with 222120322031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 222120321995 and 222120322013.

It is not a weakly prime, because it can be changed into another prime (222120322031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060161016 + 111060161017.

It is an arithmetic number, because the mean of its divisors is an integer number (111060161017).

Almost surely, 2222120322033 is an apocalyptic number.

It is an amenable number.

222120322033 is a deficient number, since it is larger than the sum of its proper divisors (1).

222120322033 is an equidigital number, since it uses as much as digits as its factorization.

222120322033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 222120322033 its reverse (330223021222), we get a palindrome (552343343255).

The spelling of 222120322033 in words is "two hundred twenty-two billion, one hundred twenty million, three hundred twenty-two thousand, thirty-three".