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9098000101 is a prime number
BaseRepresentation
bin10000111100100100…
…00111011011100101
3212111001111021212201
420132102013123211
5122113042000401
64102441414501
7441312503431
oct103622073345
925431437781
109098000101
113949647153
12191aa9a431
13b1cb73718
146244459c1
15383ad8b01
hex21e4876e5

9098000101 has 2 divisors, whose sum is σ = 9098000102. Its totient is φ = 9098000100.

The previous prime is 9098000099. The next prime is 9098000111. The reversal of 9098000101 is 1010008909.

9098000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9095436900 + 2563201 = 95370^2 + 1601^2 .

It is a cyclic number.

It is not a de Polignac number, because 9098000101 - 21 = 9098000099 is a prime.

Together with 9098000099, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 9098000101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9098000111) 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, 4549000050 + 4549000051.

It is an arithmetic number, because the mean of its divisors is an integer number (4549000051).

Almost surely, 29098000101 is an apocalyptic number.

It is an amenable number.

9098000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9098000101 is an equidigital number, since it uses as much as digits as its factorization.

9098000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 9098000101 is about 95383.4372467254. The cubic root of 9098000101 is about 2087.6065257697.

The spelling of 9098000101 in words is "nine billion, ninety-eight million, one hundred one", and thus it is an aban number.