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3332020000217 is a prime number
BaseRepresentation
bin110000011111001011110…
…111100101010111011001
3102210112112012110211221012
4300133023313211113121
5414042434110001332
611030413040223305
7462505363456646
oct60371367452731
912715465424835
103332020000217
111075113474077
1245992690ab35
131b22923814ac
14b73b0866dcd
155ba180403b2
hex307cbde55d9

3332020000217 has 2 divisors, whose sum is σ = 3332020000218. Its totient is φ = 3332020000216.

The previous prime is 3332020000207. The next prime is 3332020000259. The reversal of 3332020000217 is 7120000202333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1797929675161 + 1534090325056 = 1340869^2 + 1238584^2 .

It is a cyclic number.

It is not a de Polignac number, because 3332020000217 - 216 = 3332019934681 is a prime.

It is a super-3 number, since 3×33320200002173 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3332020000192 and 3332020000201.

It is not a weakly prime, because it can be changed into another prime (3332020000207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1666010000108 + 1666010000109.

It is an arithmetic number, because the mean of its divisors is an integer number (1666010000109).

Almost surely, 23332020000217 is an apocalyptic number.

It is an amenable number.

3332020000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3332020000217 is an equidigital number, since it uses as much as digits as its factorization.

3332020000217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 23.

The spelling of 3332020000217 in words is "three trillion, three hundred thirty-two billion, twenty million, two hundred seventeen", and thus it is an aban number.