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21212210200009 is a prime number
BaseRepresentation
bin1001101001010110110100…
…10000001111110111001001
32210002212102101211001012011
410310223122100033313021
510240020101302400014
6113040431013415521
74316350225510453
oct464533220176711
983085371731164
1021212210200009
116839058725114
12246709a33a5a1
13bab3c244c15a
1453496827d2d3
1526bba19b37c4
hex134ada40fdc9

21212210200009 has 2 divisors, whose sum is σ = 21212210200010. Its totient is φ = 21212210200008.

The previous prime is 21212210199997. The next prime is 21212210200037. The reversal of 21212210200009 is 90000201221212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14499074295225 + 6713135904784 = 3807765^2 + 2590972^2 .

It is a cyclic number.

It is not a de Polignac number, because 21212210200009 - 25 = 21212210199977 is a prime.

It is not a weakly prime, because it can be changed into another prime (21212210200039) 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 as a sum of consecutive naturals, namely, 10606105100004 + 10606105100005.

It is an arithmetic number, because the mean of its divisors is an integer number (10606105100005).

Almost surely, 221212210200009 is an apocalyptic number.

It is an amenable number.

21212210200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

21212210200009 is an equidigital number, since it uses as much as digits as its factorization.

21212210200009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 21212210200009 in words is "twenty-one trillion, two hundred twelve billion, two hundred ten million, two hundred thousand, nine".