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21212100002009 = 72827523458283
BaseRepresentation
bin1001101001010110100111…
…01011111000000011011001
32210002212010201110101221202
410310223103223320003121
510240014340100031014
6113040412035443545
74316344420032500
oct464532353700331
983085121411852
1021212100002009
1168390014a8794
1224670694565b5
13bab3a5677937
14534957795837
1526bb96e973de
hex134ad3af80d9

21212100002009 has 12 divisors (see below), whose sum is σ = 24705137171664. Its totient is φ = 18159814719144.

The previous prime is 21212100001979. The next prime is 21212100002047. The reversal of 21212100002009 is 90020000121212.

It is a happy number.

It is not a de Polignac number, because 21212100002009 - 240 = 20112588374233 is a prime.

It is a super-3 number, since 3×212121000020093 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21212100002089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261688619 + ... + 261769664.

It is an arithmetic number, because the mean of its divisors is an integer number (2058761430972).

Almost surely, 221212100002009 is an apocalyptic number.

It is an amenable number.

21212100002009 is a deficient number, since it is larger than the sum of its proper divisors (3493037169655).

21212100002009 is an equidigital number, since it uses as much as digits as its factorization.

21212100002009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523459124 (or 523459117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 21212100002009 in words is "twenty-one trillion, two hundred twelve billion, one hundred million, two thousand, nine".

Divisors: 1 7 49 827 5789 40523 523458283 3664207981 25649455867 432900000041 3030300000287 21212100002009