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2011046112 = 2532173181223
BaseRepresentation
bin111011111011110…
…0010000011100000
312012011010201122100
41313313202003200
513104311433422
6531315410400
7100556416125
oct16767420340
95164121570
102011046112
11942201789
124815b3a00
1326084411a
1415113274c
15bb8457ac
hex77de20e0

2011046112 has 144 divisors (see below), whose sum is σ = 5809684608. Its totient is φ = 659819520.

The previous prime is 2011046111. The next prime is 2011046119. The reversal of 2011046112 is 2116401102.

2011046112 is a `hidden beast` number, since 201 + 1 + 0 + 461 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011046111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9018033 + ... + 9018255.

It is an arithmetic number, because the mean of its divisors is an integer number (40345032).

Almost surely, 22011046112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011046112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904842304).

2011046112 is an abundant number, since it is smaller than the sum of its proper divisors (3798638496).

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

2011046112 is a wasteful number, since it uses less digits than its factorization.

2011046112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2011046112 is about 44844.6887825080. The cubic root of 2011046112 is about 1262.2363308080.

Adding to 2011046112 its reverse (2116401102), we get a palindrome (4127447214).

The spelling of 2011046112 in words is "two billion, eleven million, forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 181 223 288 346 362 446 519 543 669 692 724 892 1038 1086 1338 1384 1448 1557 1629 1784 2007 2076 2172 2676 2768 2896 3114 3258 3568 4014 4152 4344 5352 5536 5792 6228 6516 7136 8028 8304 8688 10704 12456 13032 16056 16608 17376 21408 24912 26064 31313 32112 38579 40363 49824 52128 62626 64224 77158 80726 93939 115737 121089 125252 154316 161452 187878 231474 242178 250504 281817 308632 322904 347211 363267 375756 462948 484356 501008 563634 617264 645808 694422 726534 751512 925896 968712 1002016 1127268 1234528 1291616 1388844 1453068 1503024 1851792 1937424 2254536 2777688 2906136 3006048 3703584 3874848 4509072 5555376 5812272 6982799 9018144 11110752 11624544 13965598 20948397 27931196 41896794 55862392 62845191 83793588 111724784 125690382 167587176 223449568 251380764 335174352 502761528 670348704 1005523056 2011046112