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209047641601 is a prime number
BaseRepresentation
bin1100001010110000110…
…1011101111000000001
3201222120220000111111111
43002230031131320001
511411112144012401
6240011332243321
721050252430601
oct3025415357001
9658526014444
10209047641601
1180724a42257
1234621770541
1316936910266
14a191978c01
155687911e51
hex30ac35de01

209047641601 has 2 divisors, whose sum is σ = 209047641602. Its totient is φ = 209047641600.

The previous prime is 209047641599. The next prime is 209047641629. The reversal of 209047641601 is 106146740902.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189573160000 + 19474481601 = 435400^2 + 139551^2 .

It is a cyclic number.

It is not a de Polignac number, because 209047641601 - 21 = 209047641599 is a prime.

Together with 209047641599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (209047941601) 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, 104523820800 + 104523820801.

It is an arithmetic number, because the mean of its divisors is an integer number (104523820801).

Almost surely, 2209047641601 is an apocalyptic number.

It is an amenable number.

209047641601 is a deficient number, since it is larger than the sum of its proper divisors (1).

209047641601 is an equidigital number, since it uses as much as digits as its factorization.

209047641601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 209047641601 in words is "two hundred nine billion, forty-seven million, six hundred forty-one thousand, six hundred one".