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202100200009 is a prime number
BaseRepresentation
bin1011110000111000011…
…1000101001001001001
3201022122201011220021221
42330032013011021021
511302400122400014
6232502112402041
720413142233051
oct2741607051111
9638581156257
10202100200009
117878a326594
1233202b46321
131609a47a086
149ad2dc0561
1553cca2ab24
hex2f0e1c5249

202100200009 has 2 divisors, whose sum is σ = 202100200010. Its totient is φ = 202100200008.

The previous prime is 202100200007. The next prime is 202100200019. The reversal of 202100200009 is 900002001202.

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., 166486848784 + 35613351225 = 408028^2 + 188715^2 .

It is a cyclic number.

It is not a de Polignac number, because 202100200009 - 21 = 202100200007 is a prime.

Together with 202100200007, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 202100199965 and 202100200001.

It is not a weakly prime, because it can be changed into another prime (202100200007) 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, 101050100004 + 101050100005.

It is an arithmetic number, because the mean of its divisors is an integer number (101050100005).

Almost surely, 2202100200009 is an apocalyptic number.

It is an amenable number.

202100200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

202100200009 is an equidigital number, since it uses as much as digits as its factorization.

202100200009 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 16.

The spelling of 202100200009 in words is "two hundred two billion, one hundred million, two hundred thousand, nine".