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2012212000217 is a prime number
BaseRepresentation
bin11101010010000001001…
…011100111010111011001
321010100212111212201221102
4131102001023213113121
5230432002233001332
64140221502321145
7265243326536156
oct35220113472731
97110774781842
102012212000217
11706413241351
12285b918891b5
1311799b5c52c3
146d56a6d522d
1537520178062
hex1d4812e75d9

2012212000217 has 2 divisors, whose sum is σ = 2012212000218. Its totient is φ = 2012212000216.

The previous prime is 2012212000189. The next prime is 2012212000219. The reversal of 2012212000217 is 7120002122102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1361058222736 + 651153777481 = 1166644^2 + 806941^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012212000217 - 28 = 2012211999961 is a prime.

Together with 2012212000219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2012212000219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006106000108 + 1006106000109.

It is an arithmetic number, because the mean of its divisors is an integer number (1006106000109).

Almost surely, 22012212000217 is an apocalyptic number.

It is an amenable number.

2012212000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012212000217 is an equidigital number, since it uses as much as digits as its factorization.

2012212000217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 2012212000217 its reverse (7120002122102), we get a palindrome (9132214122319).

The spelling of 2012212000217 in words is "two trillion, twelve billion, two hundred twelve million, two hundred seventeen", and thus it is an aban number.