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1001211120017 is a prime number
BaseRepresentation
bin11101001000111001101…
…01010100100110010001
310112201022010100200210222
432210130311110212101
5112400440021320032
62043541113002425
7132222642050123
oct16443465244621
93481263320728
101001211120017
1135667a637329
1214205b6b3415
137354c1845c4
143665d22d213
151b09cc4ba12
hexe91cd54991

1001211120017 has 2 divisors, whose sum is σ = 1001211120018. Its totient is φ = 1001211120016.

The previous prime is 1001211119983. The next prime is 1001211120029. The reversal of 1001211120017 is 7100211121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 914463788176 + 86747331841 = 956276^2 + 294529^2 .

It is an emirp because it is prime and its reverse (7100211121001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001211120017 - 28 = 1001211119761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001211119977 and 1001211120004.

It is not a weakly prime, because it can be changed into another prime (1001211122017) 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, 500605560008 + 500605560009.

It is an arithmetic number, because the mean of its divisors is an integer number (500605560009).

Almost surely, 21001211120017 is an apocalyptic number.

It is an amenable number.

1001211120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001211120017 is an equidigital number, since it uses as much as digits as its factorization.

1001211120017 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 17.

Adding to 1001211120017 its reverse (7100211121001), we get a palindrome (8101422241018).

The spelling of 1001211120017 in words is "one trillion, one billion, two hundred eleven million, one hundred twenty thousand, seventeen".