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212011110221112 = 233237108463733741
BaseRepresentation
bin110000001101001010101110…
…111010011100010100111000
31000210200001201210112212112200
4300031022232322130110320
5210242042223204033422
62030524320502110200
762441203644545316
oct6015125672342470
91023601653485480
10212011110221112
116160a452668774
121b94120ba1b360
13913b73c687ca7
143a4d56cda50b6
151979d675722ac
hexc0d2aee9c538

212011110221112 has 96 divisors (see below), whose sum is σ = 589721828854080. Its totient is φ = 68759632408320.

The previous prime is 212011110221093. The next prime is 212011110221167. The reversal of 212011110221112 is 211122011110212.

It is a happy number.

212011110221112 is a `hidden beast` number, since 21 + 201 + 1 + 110 + 221 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288578562 + ... + 289312302.

It is an arithmetic number, because the mean of its divisors is an integer number (6142935717230).

Almost surely, 2212011110221112 is an apocalyptic number.

It is an amenable number.

212011110221112 is an abundant number, since it is smaller than the sum of its proper divisors (377710718632968).

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

212011110221112 is a wasteful number, since it uses less digits than its factorization.

212011110221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842253 (or 842246 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212011110221112 its reverse (211122011110212), we get a palindrome (423133121331324).

The spelling of 212011110221112 in words is "two hundred twelve trillion, eleven billion, one hundred ten million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 108463 216926 325389 433852 650778 733741 867704 976167 1301556 1467482 1952334 2201223 2603112 2934964 3904668 4013131 4402446 5869928 6603669 7809336 8026262 8804892 12039393 13207338 16052524 17609784 24078786 26414676 27148417 32105048 36118179 48157572 52829352 54296834 72236358 81445251 96315144 108593668 144472716 162890502 217187336 244335753 288945432 325781004 488671506 651562008 977343012 1954686024 79583750083 159167500166 238751250249 318335000332 477502500498 636670000664 716253750747 955005000996 1432507501494 1910010001992 2865015002988 2944598753071 5730030005976 5889197506142 8833796259213 11778395012284 17667592518426 23556790024568 26501388777639 35335185036852 53002777555278 70670370073704 106005555110556 212011110221112