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21165615209 is a prime number
BaseRepresentation
bin10011101101100100…
…011010100001101001
32000122001211122201102
4103231210122201221
5321321344141314
613420124331145
71346334521654
oct235544324151
960561748642
1021165615209
118a8148aa82
1241283a3ab5
131cc402038b
14104b02489b
1583d2635de
hex4ed91a869

21165615209 has 2 divisors, whose sum is σ = 21165615210. Its totient is φ = 21165615208.

The previous prime is 21165615199. The next prime is 21165615217. The reversal of 21165615209 is 90251656112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20493354025 + 672261184 = 143155^2 + 25928^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21165615209 is a prime.

It is a super-3 number, since 3×211656152093 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (21165618209) 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, 10582807604 + 10582807605.

It is an arithmetic number, because the mean of its divisors is an integer number (10582807605).

Almost surely, 221165615209 is an apocalyptic number.

It is an amenable number.

21165615209 is a deficient number, since it is larger than the sum of its proper divisors (1).

21165615209 is an equidigital number, since it uses as much as digits as its factorization.

21165615209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 21165615209 in words is "twenty-one billion, one hundred sixty-five million, six hundred fifteen thousand, two hundred nine".