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10090909101 = 3713193752579
BaseRepresentation
bin10010110010111011…
…10000110110101101
3222001020211021222010
421121131300312231
5131131233042401
64345151111433
7505030212030
oct113135606655
928036737863
1010090909101
1143090673a9
121b57512579
13c4a79a140
146ba269017
153e0d68ed6
hex259770dad

10090909101 has 64 divisors (see below), whose sum is σ = 17902438400. Its totient is φ = 4906158336.

The previous prime is 10090909039. The next prime is 10090909183. The reversal of 10090909101 is 10190909001.

It is not a de Polignac number, because 10090909101 - 213 = 10090900909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10090909001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165630 + ... + 218208.

It is an arithmetic number, because the mean of its divisors is an integer number (279725600).

Almost surely, 210090909101 is an apocalyptic number.

It is an amenable number.

10090909101 is a deficient number, since it is larger than the sum of its proper divisors (7811529299).

10090909101 is a wasteful number, since it uses less digits than its factorization.

10090909101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52658.

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 10090909101 in words is "ten billion, ninety million, nine hundred nine thousand, one hundred one".

Divisors: 1 3 7 13 19 21 37 39 57 91 111 133 247 259 273 399 481 703 741 777 1443 1729 2109 3367 4921 5187 9139 10101 14763 27417 52579 63973 157737 191919 368053 683527 999001 1104159 1945423 2050581 2997003 4784689 5836269 6993007 12987013 13617961 14354067 20979021 25290499 36963037 38961039 40853883 75871497 90909091 110889111 177033493 258741259 272727273 480519481 531100479 776223777 1441558443 3363636367 10090909101