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1020221003017 is a prime number
BaseRepresentation
bin11101101100010011110…
…10010001010100001001
310121112100221210210212201
432312021322101110021
5113203403034044032
62100403312440201
7133465012304416
oct16661172212411
93545327723781
101020221003017
11363745182837
12145885b49061
137528b6a2598
1437543c1b10d
151b811ad98e7
hexed89e91509

1020221003017 has 2 divisors, whose sum is σ = 1020221003018. Its totient is φ = 1020221003016.

The previous prime is 1020221002981. The next prime is 1020221003027. The reversal of 1020221003017 is 7103001220201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 939030769296 + 81190233721 = 969036^2 + 284939^2 .

It is an emirp because it is prime and its reverse (7103001220201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020221003017 - 231 = 1018073519369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020221002985 and 1020221003003.

It is not a weakly prime, because it can be changed into another prime (1020221003027) 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, 510110501508 + 510110501509.

It is an arithmetic number, because the mean of its divisors is an integer number (510110501509).

Almost surely, 21020221003017 is an apocalyptic number.

It is an amenable number.

1020221003017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020221003017 is an equidigital number, since it uses as much as digits as its factorization.

1020221003017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 1020221003017 its reverse (7103001220201), we get a palindrome (8123222223218).

The spelling of 1020221003017 in words is "one trillion, twenty billion, two hundred twenty-one million, three thousand, seventeen".