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11234010004 = 2273741733623
BaseRepresentation
bin10100111011001100…
…10110001110010100
31001222220202211121121
422131212112032110
5141001401310004
65054423453324
7545250336520
oct123546261624
931886684547
1011234010004
11484533aa98
1222162b7244
1310a055bbc9
14787dc6d80
1545b3b5854
hex29d996394

11234010004 has 96 divisors (see below), whose sum is σ = 23968498176. Its totient is φ = 4506347520.

The previous prime is 11234009999. The next prime is 11234010019. The reversal of 11234010004 is 40001043211.

11234010004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11234010004.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 3098937 + ... + 3102559.

It is an arithmetic number, because the mean of its divisors is an integer number (249671856).

Almost surely, 211234010004 is an apocalyptic number.

11234010004 is a gapful number since it is divisible by the number (14) 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 11234010004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11984249088).

11234010004 is an abundant number, since it is smaller than the sum of its proper divisors (12734488172).

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

11234010004 is a wasteful number, since it uses less digits than its factorization.

11234010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11234010004 its reverse (40001043211), we get a palindrome (51235053215).

The spelling of 11234010004 in words is "eleven billion, two hundred thirty-four million, ten thousand, four".

Divisors: 1 2 4 7 14 28 37 41 73 74 82 146 148 164 259 287 292 511 518 574 1022 1036 1148 1517 2044 2701 2993 3034 3623 5402 5986 6068 7246 10619 10804 11972 14492 18907 20951 21238 25361 37814 41902 42476 50722 75628 83804 101444 110741 134051 148543 221482 264479 268102 297086 442964 528958 536204 594172 775187 938357 1039801 1057916 1550374 1851353 1876714 2079602 3100748 3702706 3753428 4159204 5496091 7405412 9785723 10843639 10992182 19571446 21687278 21984364 38472637 39142892 43374556 68500061 75905473 76945274 137000122 151810946 153890548 274000244 303621892 401214643 802429286 1604858572 2808502501 5617005002 11234010004