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330001000001 is a prime number
BaseRepresentation
bin1001100110101011001…
…01111010011001000001
31011112210100002201212022
410303111211322121001
520401320224000001
6411333402411225
732561506134551
oct4632545723101
91145710081768
10330001000001
11117a52a63682
1253b58800b15
1325171483c0a
1411d8776b161
1588b643411b
hex4cd597a641

330001000001 has 2 divisors, whose sum is σ = 330001000002. Its totient is φ = 330001000000.

The previous prime is 330000999997. The next prime is 330001000003. The reversal of 330001000001 is 100000100033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292085121601 + 37915878400 = 540449^2 + 194720^2 .

It is an emirp because it is prime and its reverse (100000100033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 330001000001 - 22 = 330000999997 is a prime.

Together with 330001000003, 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 (330001000003) 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, 165000500000 + 165000500001.

It is an arithmetic number, because the mean of its divisors is an integer number (165000500001).

Almost surely, 2330001000001 is an apocalyptic number.

It is an amenable number.

330001000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

330001000001 is an equidigital number, since it uses as much as digits as its factorization.

330001000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 330001000001 its reverse (100000100033), we get a palindrome (430001100034).

The spelling of 330001000001 in words is "three hundred thirty billion, one million, one", and thus it is an aban number.