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201120323112 = 23343011103079
BaseRepresentation
bin1011101101001110110…
…1001001011000101000
3201020010102100222220000
42323103231021120220
511243343300314422
6232220550303000
720346643353102
oct2732355113050
9636112328800
10201120323112
11783271a7575
1232b8a957a60
1315c72467367
149a3cbd0572
1553719c1cac
hex2ed3b49628

201120323112 has 80 divisors (see below), whose sum is σ = 563515682400. Its totient is φ = 67017192480.

The previous prime is 201120323083. The next prime is 201120323147. The reversal of 201120323112 is 211323021102.

201120323112 is a `hidden beast` number, since 201 + 120 + 32 + 311 + 2 = 666.

201120323112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2011203231123 (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1899589 + ... + 2002667.

It is an arithmetic number, because the mean of its divisors is an integer number (7043946030).

Almost surely, 2201120323112 is an apocalyptic number.

It is an amenable number.

201120323112 is an abundant number, since it is smaller than the sum of its proper divisors (362395359288).

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

201120323112 is a wasteful number, since it uses less digits than its factorization.

201120323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106108 (or 106095 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201120323112 its reverse (211323021102), we get a palindrome (412443344214).

The spelling of 201120323112 in words is "two hundred one billion, one hundred twenty million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 3011 6022 9033 12044 18066 24088 27099 36132 54198 72264 81297 103079 108396 162594 206158 216792 243891 309237 325188 412316 487782 618474 650376 824632 927711 975564 1236948 1855422 1951128 2473896 2783133 3710844 5566266 7421688 8349399 11132532 16698798 22265064 33397596 66795192 310370869 620741738 931112607 1241483476 1862225214 2482966952 2793337821 3724450428 5586675642 7448900856 8380013463 11173351284 16760026926 22346702568 25140040389 33520053852 50280080778 67040107704 100560161556 201120323112