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211010010017 is a prime number
BaseRepresentation
bin1100010010000100101…
…1010011101110100001
3202011122122120010220012
43010201023103232201
511424122030310032
6240534152454305
721150011330402
oct3044113235641
9664578503805
10211010010017
1181541716734
1234a8a9aa395
1316b8a33cac1
14a2da4399a9
15574ed3e6b2
hex31212d3ba1

211010010017 has 2 divisors, whose sum is σ = 211010010018. Its totient is φ = 211010010016.

The previous prime is 211010010011. The next prime is 211010010023. The reversal of 211010010017 is 710010010112.

It is a balanced prime because it is at equal distance from previous prime (211010010011) and next prime (211010010023).

It can be written as a sum of positive squares in only one way, i.e., 173792269456 + 37217740561 = 416884^2 + 192919^2 .

It is a cyclic number.

It is not a de Polignac number, because 211010010017 - 226 = 210942901153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211010009983 and 211010010010.

It is not a weakly prime, because it can be changed into another prime (211010010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105505005008 + 105505005009.

It is an arithmetic number, because the mean of its divisors is an integer number (105505005009).

Almost surely, 2211010010017 is an apocalyptic number.

It is an amenable number.

211010010017 is a deficient number, since it is larger than the sum of its proper divisors (1).

211010010017 is an equidigital number, since it uses as much as digits as its factorization.

211010010017 is an odious number, because the sum of its binary digits is odd.

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

Adding to 211010010017 its reverse (710010010112), we get a palindrome (921020020129).

The spelling of 211010010017 in words is "two hundred eleven billion, ten million, ten thousand, seventeen".