Search a number
-
+
1020000217 is a prime number
BaseRepresentation
bin111100110010111…
…111011111011001
32122002022101020211
4330302333133121
54042110001332
6245114051121
734163600365
oct7462773731
92562271224
101020000217
11483844295
12245719aa1
13133420732
14996762a5
155e832447
hex3ccbf7d9

1020000217 has 2 divisors, whose sum is σ = 1020000218. Its totient is φ = 1020000216.

The previous prime is 1020000181. The next prime is 1020000227. The reversal of 1020000217 is 7120000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 608559561 + 411440656 = 24669^2 + 20284^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020000217 - 215 = 1019967449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020000197 and 1020000206.

It is not a weakly prime, because it can be changed into another prime (1020000227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510000108 + 510000109.

It is an arithmetic number, because the mean of its divisors is an integer number (510000109).

Almost surely, 21020000217 is an apocalyptic number.

It is an amenable number.

1020000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020000217 is an equidigital number, since it uses as much as digits as its factorization.

1020000217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 1020000217 is about 31937.4422426092. The cubic root of 1020000217 is about 1006.6227809448.

Adding to 1020000217 its reverse (7120000201), we get a palindrome (8140000418).

The spelling of 1020000217 in words is "one billion, twenty million, two hundred seventeen", and thus it is an aban number.