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20221011002009 is a prime number
BaseRepresentation
bin1001001100100000100100…
…01011011000001010011001
32122121002222000122200102202
410212100102023120022121
510122300112304031014
6111001223150535545
74154630334365336
oct446202213301231
978532860580382
1020221011002009
116496756606004
122326b738075b5
13b38aaa59a67c
144dc9b89d798d
15250edcbcc3de
hex1264122d8299

20221011002009 has 2 divisors, whose sum is σ = 20221011002010. Its totient is φ = 20221011002008.

The previous prime is 20221011001999. The next prime is 20221011002051. The reversal of 20221011002009 is 90020011012202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17737953606025 + 2483057395984 = 4211645^2 + 1575772^2 .

It is a cyclic number.

It is not a de Polignac number, because 20221011002009 - 28 = 20221011001753 is a prime.

It is not a weakly prime, because it can be changed into another prime (20221011002099) 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, 10110505501004 + 10110505501005.

It is an arithmetic number, because the mean of its divisors is an integer number (10110505501005).

Almost surely, 220221011002009 is an apocalyptic number.

It is an amenable number.

20221011002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20221011002009 is an equidigital number, since it uses as much as digits as its factorization.

20221011002009 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 20221011002009 in words is "twenty trillion, two hundred twenty-one billion, eleven million, two thousand, nine".