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112112101021011 = 3713137139191311273
BaseRepresentation
bin11001011111011100100001…
…111101001101010101010011
3112200221210221002020112110020
4121133130201331031111103
5104143321040330133021
61034235331014434523
732420555243134020
oct3137344175152523
9480853832215406
10112112101021011
11327a45252a7293
12106a80ab962a43
134a731833ba210
141d9837ca48547
15ce645dea27c6
hex65f721f4d553

112112101021011 has 128 divisors (see below), whose sum is σ = 186769131816960. Its totient is φ = 58246435749888.

The previous prime is 112112101020947. The next prime is 112112101021057. The reversal of 112112101021011 is 110120101211211.

It is not a de Polignac number, because 112112101021011 - 26 = 112112101020947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112101021091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9945182071 + ... + 9945193343.

It is an arithmetic number, because the mean of its divisors is an integer number (1459133842320).

Almost surely, 2112112101021011 is an apocalyptic number.

112112101021011 is a deficient number, since it is larger than the sum of its proper divisors (74657030795949).

112112101021011 is a wasteful number, since it uses less digits than its factorization.

112112101021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13485.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 112112101021011 its reverse (110120101211211), we get a palindrome (222232202232222).

The spelling of 112112101021011 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred one million, twenty-one thousand, eleven".

Divisors: 1 3 7 13 21 39 91 137 139 273 411 417 959 973 1781 1807 1913 2877 2919 5343 5421 5739 11273 12467 12649 13391 19043 24869 33819 37401 37947 40173 57129 74607 78911 133301 146549 174083 236733 247559 262081 265907 399903 439647 522249 742677 786243 797721 1025843 1544401 1566947 1732913 1834567 1861349 3077529 3407053 3456791 4633203 4700841 5198739 5503701 5584047 10221159 10370373 10810807 10968629 20077213 20370311 21565249 23849371 24197537 32432421 32905887 36429259 60231639 61110933 64695747 71548113 72592611 109287777 140540491 142592177 150956743 214671739 255004813 280348237 421621473 427776531 452870229 473580367 644015217 765014439 841044711 1420741101 1502702173 1962437659 2790732607 2954439113 2997569611 3315062569 4508106519 5887312977 8372197821 8863317339 8992708833 9945187707 19535128249 20681073791 20982987277 38407708469 38968404943 58605384747 62043221373 62948961831 115223125407 116905214829 268853959283 272778834601 410667036707 806561877849 818336503803 1232001110121 2874669256949 5338671477191 8624007770847 16016014431573 37370700340337 112112101021011