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112012121210211 = 3217237193231247
BaseRepresentation
bin11001011101111111011010…
…101100011111110101100011
3112200121020212022120220120200
4121131333122230133311203
5104140201311012211321
61034121354052240243
732410415532563115
oct3135773254376543
9480536768526520
10112012121210211
113276608a300682
1210690848910083
134a6690bb29061
141d935b65613b5
15ce3a5b904d26
hex65dfdab1fd63

112012121210211 has 108 divisors (see below), whose sum is σ = 177442720876512. Its totient is φ = 68026107543552.

The previous prime is 112012121210189. The next prime is 112012121210221.

It is a happy number.

112012121210211 is a `hidden beast` number, since 1 + 1 + 201 + 21 + 21 + 210 + 211 = 666.

112012121210211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112012121210211 - 26 = 112012121210147 is a prime.

It is a super-2 number, since 2×1120121212102112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112012121210221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3584716390 + ... + 3584747636.

It is an arithmetic number, because the mean of its divisors is an integer number (1642988156264).

Almost surely, 2112012121210211 is an apocalyptic number.

112012121210211 is a deficient number, since it is larger than the sum of its proper divisors (65430599666301).

112012121210211 is a wasteful number, since it uses less digits than its factorization.

112012121210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31710 (or 31497 counting only the distinct ones).

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

The spelling of 112012121210211 in words is "one hundred twelve trillion, twelve billion, one hundred twenty-one million, two hundred ten thousand, two hundred eleven".

Divisors: 1 3 9 17 37 51 111 153 193 289 333 579 629 867 1737 1887 2601 3281 5661 7141 9843 10693 21423 29529 31247 32079 37249 55777 64269 93741 96237 111747 121397 167331 281223 335241 364191 501993 531199 633233 1092573 1156139 1378213 1593597 1899699 2063749 3468417 4134639 4780791 5699097 6030671 6191247 9030383 10405251 10764961 12403917 18092013 18573741 19654363 23429621 27091149 32294883 54276039 58963089 70288863 81273447 96884649 102521407 176889267 210866589 223134827 307564221 334124171 398303557 669404481 922692663 1002372513 1163919503 1194910671 1742863919 2008213443 3007117539 3491758509 3584732013 3793292059 5228591757 10475275527 11379876177 15685775271 19786631551 34139628531 43065021611 59359894653 64485965003 129195064833 178079683959 193457895009 336372736367 387585194499 580373685027 732105367387 1009118209101 2196316102161 3027354627303 6588948306483 12445791245579 37337373736737 112012121210211