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11040042012 = 22317167541599
BaseRepresentation
bin10100100100000100…
…11010110000011100
31001111101210020112220
422102002122300130
5140102222321022
65023254225340
7540403544256
oct122202326034
931441706486
1011040042012
1147558a7a6a
122181355250
13106c30734c
1476a334cd6
1544934d85c
hex29209ac1c

11040042012 has 96 divisors (see below), whose sum is σ = 27535334400. Its totient is φ = 3430702080.

The previous prime is 11040041989. The next prime is 11040042037. The reversal of 11040042012 is 21024004011.

It is a junction number, because it is equal to n+sod(n) for n = 11040041982 and 11040042000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18430489 + ... + 18431087.

It is an arithmetic number, because the mean of its divisors is an integer number (286826400).

Almost surely, 211040042012 is an apocalyptic number.

11040042012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040042012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13767667200).

11040042012 is an abundant number, since it is smaller than the sum of its proper divisors (16495292388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11040042012 is a wasteful number, since it uses less digits than its factorization.

11040042012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11040042012 its reverse (21024004011), we get a palindrome (32064046023).

The spelling of 11040042012 in words is "eleven billion, forty million, forty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 167 204 334 501 541 599 668 1002 1082 1198 1623 1797 2004 2164 2396 2839 3246 3594 5678 6492 7188 8517 9197 10183 11356 17034 18394 20366 27591 30549 34068 36788 40732 55182 61098 90347 100033 110364 122196 180694 200066 271041 300099 324059 361388 400132 542082 600198 648118 972177 1084164 1200396 1296236 1535899 1700561 1944354 3071798 3401122 3888708 4607697 5101683 5509003 6143596 6802244 9215394 10203366 11018006 16527009 18430788 20406732 22036012 33054018 54117853 66108036 108235706 162353559 216471412 324707118 649414236 920003501 1840007002 2760010503 3680014004 5520021006 11040042012