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10009010011 = 7112133732437
BaseRepresentation
bin10010101001001010…
…10101111101011011
3221211112201101112111
421110211111331123
5130444301310021
64333103453151
7503014116130
oct112445257533
927745641474
1010009010011
114276909400
121b33bb71b7
13c36823540
146ad42a587
153d8a8c8e1
hex254955f5b

10009010011 has 48 divisors (see below), whose sum is σ = 13582351552. Its totient is φ = 7177040640.

The previous prime is 10009009993. The next prime is 10009010023. The reversal of 10009010011 is 11001090001.

It is not a de Polignac number, because 10009010011 - 27 = 10009009883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10009009973 and 10009010000.

It is not an unprimeable number, because it can be changed into a prime (10009010041) 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 47 ways as a sum of consecutive naturals, for example, 4105885 + ... + 4108321.

Almost surely, 210009010011 is an apocalyptic number.

10009010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10009010011 is a deficient number, since it is larger than the sum of its proper divisors (3573341541).

10009010011 is a wasteful number, since it uses less digits than its factorization.

10009010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 10009010011 in words is "ten billion, nine million, ten thousand, eleven".

Divisors: 1 7 11 13 77 91 121 143 373 847 1001 1573 2437 2611 4103 4849 11011 17059 26807 28721 31681 33943 45133 53339 187649 221767 294877 315931 348491 373373 586729 909001 2064139 2439437 3833401 4107103 6363007 9999011 11817013 26833807 69993077 82719091 109989121 129987143 769923847 909910001 1429858573 10009010011