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210101310017 is a prime number
BaseRepresentation
bin1100001110101100000…
…0111001001001000001
3202002022022200101211122
43003223000321021001
511420241413410032
6240304052122025
721115335445304
oct3035300711101
9662268611748
10210101310017
11811157919a5
1234876606315
1316a73cbb4b1
14a251896b3b
1556ea195012
hex30eb039241

210101310017 has 2 divisors, whose sum is σ = 210101310018. Its totient is φ = 210101310016.

The previous prime is 210101310007. The next prime is 210101310019. The reversal of 210101310017 is 710013101012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190476382096 + 19624927921 = 436436^2 + 140089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210101310017 is a prime.

Together with 210101310019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 210101309977 and 210101310004.

It is not a weakly prime, because it can be changed into another prime (210101310019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050655008 + 105050655009.

It is an arithmetic number, because the mean of its divisors is an integer number (105050655009).

Almost surely, 2210101310017 is an apocalyptic number.

It is an amenable number.

210101310017 is a deficient number, since it is larger than the sum of its proper divisors (1).

210101310017 is an equidigital number, since it uses as much as digits as its factorization.

210101310017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 210101310017 its reverse (710013101012), we get a palindrome (920114411029).

The spelling of 210101310017 in words is "two hundred ten billion, one hundred one million, three hundred ten thousand, seventeen".