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82002000011 is a prime number
BaseRepresentation
bin100110001011110110…
…0110011100010001011
321211122212020012201112
41030113230303202023
52320420003000021
6101400551240535
75632041333221
oct1142754634213
9254585205645
1082002000011
113185aa9a348
1213a8637914b
13796ab2c5c9
143d7c9d4b11
1521ee128d5b
hex1317b3388b

82002000011 has 2 divisors, whose sum is σ = 82002000012. Its totient is φ = 82002000010.

The previous prime is 82001999987. The next prime is 82002000023. The reversal of 82002000011 is 11000020028.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82002000011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82002000011.

It is not a weakly prime, because it can be changed into another prime (82002000061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41001000005 + 41001000006.

It is an arithmetic number, because the mean of its divisors is an integer number (41001000006).

Almost surely, 282002000011 is an apocalyptic number.

82002000011 is a deficient number, since it is larger than the sum of its proper divisors (1).

82002000011 is an equidigital number, since it uses as much as digits as its factorization.

82002000011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 82002000011 its reverse (11000020028), we get a palindrome (93002020039).

The spelling of 82002000011 in words is "eighty-two billion, two million, eleven", and thus it is an aban number and an uban number.