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83563900001 is a prime number
BaseRepresentation
bin100110111010011001…
…0111110110001100001
321222200201012221201022
41031310302332301201
52332114324300001
6102215544215225
76015535300421
oct1156462766141
9258621187638
1083563900001
113249170898a
121424146a515
137b595b559a
14408a20c481
1522912ee11b
hex1374cbec61

83563900001 has 2 divisors, whose sum is σ = 83563900002. Its totient is φ = 83563900000.

The previous prime is 83563899977. The next prime is 83563900003. The reversal of 83563900001 is 10000936538.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81810300625 + 1753599376 = 286025^2 + 41876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83563900001 is a prime.

Together with 83563900003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83563900003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41781950000 + 41781950001.

It is an arithmetic number, because the mean of its divisors is an integer number (41781950001).

Almost surely, 283563900001 is an apocalyptic number.

It is an amenable number.

83563900001 is a deficient number, since it is larger than the sum of its proper divisors (1).

83563900001 is an equidigital number, since it uses as much as digits as its factorization.

83563900001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 83563900001 in words is "eighty-three billion, five hundred sixty-three million, nine hundred thousand, one".