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20212121200009 is a prime number
BaseRepresentation
bin1001001100010000000000…
…10011011110010110001001
32122120021000110220221122211
410212020000103132112021
510122123411011400014
6110553153103345121
74154164130332264
oct446100023362611
978507013827584
1020212121200009
116492a04541202
1223252b25b21a1
13b37cc18c18bb
144dc3b40a9cdb
15250b6c51bcc4
hex1262004de589

20212121200009 has 2 divisors, whose sum is σ = 20212121200010. Its totient is φ = 20212121200008.

The previous prime is 20212121200001. The next prime is 20212121200013. The reversal of 20212121200009 is 90000212121202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20087176624384 + 124944575625 = 4481872^2 + 353475^2 .

It is a cyclic number.

It is not a de Polignac number, because 20212121200009 - 23 = 20212121200001 is a prime.

It is not a weakly prime, because it can be changed into another prime (20212121200001) 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, 10106060600004 + 10106060600005.

It is an arithmetic number, because the mean of its divisors is an integer number (10106060600005).

Almost surely, 220212121200009 is an apocalyptic number.

It is an amenable number.

20212121200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20212121200009 is an equidigital number, since it uses as much as digits as its factorization.

20212121200009 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 20212121200009 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-one million, two hundred thousand, nine".