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9099000009909 = 3323591012458831
BaseRepresentation
bin1000010001101000011010…
…1010011101010010110101
31012012212002221210102002000
42010122012222131102311
52143034223000304114
631204004540205513
71626244462653615
oct204320652352265
935185087712060
109099000009909
112998956327937
12102b544839899
13510055466904
14236572ddca45
1510ba44c37e09
hex84686a9d4b5

9099000009909 has 64 divisors (see below), whose sum is σ = 14446129766400. Its totient is φ = 5647440744000.

The previous prime is 9099000009901. The next prime is 9099000009937.

9099000009909 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9099000009909 - 23 = 9099000009901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9099000009901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2471124 + ... + 4929954.

It is an arithmetic number, because the mean of its divisors is an integer number (225720777600).

Almost surely, 29099000009909 is an apocalyptic number.

It is an amenable number.

9099000009909 is a deficient number, since it is larger than the sum of its proper divisors (5347129756491).

9099000009909 is a wasteful number, since it uses less digits than its factorization.

9099000009909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459023 (or 2459017 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

It can be divided in two parts, 909900000 and 9909, that added together give a palindrome (909909909).

The spelling of 9099000009909 in words is "nine trillion, ninety-nine billion, nine thousand, nine hundred nine".

Divisors: 1 3 9 23 27 59 69 101 177 207 303 531 621 909 1357 1593 2323 2727 4071 5959 6969 12213 17877 20907 36639 53631 62721 137057 160893 411171 1233513 2458831 3700539 7376493 22129479 56553113 66388437 145071029 169659339 248341931 435213087 508978017 745025793 1305639261 1526934051 2235077379 3336633667 3916917783 5711864413 6705232137 10009901001 14652173929 17135593239 30029703003 43956521787 51406779717 90089109009 131869565361 154220339151 337000000367 395608696083 1011000001101 3033000003303 9099000009909