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20212010009 is a prime number
BaseRepresentation
bin10010110100101110…
…101100110000011001
31221011121110111022022
4102310232230300121
5312343233310014
613141341304225
71313605151612
oct226456546031
957147414268
1020212010009
118632175304
123b00b65075
131ba15a8649
14d9a512c09
157d4698a8e
hex4b4bacc19

20212010009 has 2 divisors, whose sum is σ = 20212010010. Its totient is φ = 20212010008.

The previous prime is 20212009991. The next prime is 20212010023. The reversal of 20212010009 is 90001021202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12802243609 + 7409766400 = 113147^2 + 86080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20212010009 is a prime.

It is not a weakly prime, because it can be changed into another prime (20212010059) 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, 10106005004 + 10106005005.

It is an arithmetic number, because the mean of its divisors is an integer number (10106005005).

Almost surely, 220212010009 is an apocalyptic number.

It is an amenable number.

20212010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20212010009 is an equidigital number, since it uses as much as digits as its factorization.

20212010009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 20212010009 in words is "twenty billion, two hundred twelve million, ten thousand, nine".