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2006610217 is a prime number
BaseRepresentation
bin111011110011010…
…0111000100101001
312011211210100201221
41313212213010221
513102143011332
6531040342041
7100503622363
oct16746470451
95154710657
102006610217
1193a751a57
12480014921
1325c950031
141506d9d33
15bb26b297
hex779a7129

2006610217 has 2 divisors, whose sum is σ = 2006610218. Its totient is φ = 2006610216.

The previous prime is 2006610173. The next prime is 2006610239. The reversal of 2006610217 is 7120166002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1639926016 + 366684201 = 40496^2 + 19149^2 .

It is a cyclic number.

It is not a de Polignac number, because 2006610217 - 215 = 2006577449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2006610191 and 2006610200.

It is not a weakly prime, because it can be changed into another prime (2006610247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003305108 + 1003305109.

It is an arithmetic number, because the mean of its divisors is an integer number (1003305109).

Almost surely, 22006610217 is an apocalyptic number.

It is an amenable number.

2006610217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2006610217 is an equidigital number, since it uses as much as digits as its factorization.

2006610217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2006610217 is about 44795.2030579168. The cubic root of 2006610217 is about 1261.3075820590.

Adding to 2006610217 its reverse (7120166002), we get a palindrome (9126776219).

The spelling of 2006610217 in words is "two billion, six million, six hundred ten thousand, two hundred seventeen".