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9900809117 is a prime number
BaseRepresentation
bin10010011100010001…
…00101101110011101
3221120000010012210222
421032020211232131
5130234101342432
64314240411125
7500231326463
oct111610455635
927500105728
109900809117
114220826481
121b03916aa5
13c1a29b044
1469cd02833
153ce318112
hex24e225b9d

9900809117 has 2 divisors, whose sum is σ = 9900809118. Its totient is φ = 9900809116.

The previous prime is 9900809101. The next prime is 9900809141. The reversal of 9900809117 is 7119080099.

9900809117 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., 6144835321 + 3755973796 = 78389^2 + 61286^2 .

It is an emirp because it is prime and its reverse (7119080099) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9900809117 - 24 = 9900809101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9900809417) 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, 4950404558 + 4950404559.

It is an arithmetic number, because the mean of its divisors is an integer number (4950404559).

Almost surely, 29900809117 is an apocalyptic number.

It is an amenable number.

9900809117 is a deficient number, since it is larger than the sum of its proper divisors (1).

9900809117 is an equidigital number, since it uses as much as digits as its factorization.

9900809117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 44.

The square root of 9900809117 is about 99502.8095934984. The cubic root of 9900809117 is about 2147.2876643824.

The spelling of 9900809117 in words is "nine billion, nine hundred million, eight hundred nine thousand, one hundred seventeen".