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212100001022017 is a prime number
BaseRepresentation
bin110000001110011101100001…
…001101111100000001000001
31000210222120011202021102120001
4300032131201031330001001
5210300021300230201032
62031033221220320001
762450501515103263
oct6016354115740101
91023876152242501
10212100001022017
1161644118161099
121b956499243001
139146c37758434
143a539a284bb33
15197c31b34c3e7
hexc0e76137c041

212100001022017 has 2 divisors, whose sum is σ = 212100001022018. Its totient is φ = 212100001022016.

The previous prime is 212100001021991. The next prime is 212100001022123. The reversal of 212100001022017 is 710220100001212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110025330575616 + 102074670446401 = 10489296^2 + 10103201^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100001022017 - 239 = 211550245208129 is a prime.

It is a super-2 number, since 2×2121000010220172 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212100001021985 and 212100001022003.

It is not a weakly prime, because it can be changed into another prime (212100001062017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050000511008 + 106050000511009.

It is an arithmetic number, because the mean of its divisors is an integer number (106050000511009).

Almost surely, 2212100001022017 is an apocalyptic number.

It is an amenable number.

212100001022017 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100001022017 is an equidigital number, since it uses as much as digits as its factorization.

212100001022017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 212100001022017 its reverse (710220100001212), we get a palindrome (922320101023229).

The spelling of 212100001022017 in words is "two hundred twelve trillion, one hundred billion, one million, twenty-two thousand, seventeen".