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111034345364046 = 2321321714711459609
BaseRepresentation
bin11001001111110000110010…
…101101101001101001001110
3112120010210001102211110211100
4121033300302231221221032
5104023141314403122141
61032052250222403530
732246652405166356
oct3117606255515116
9476123042743740
10111034345364046
1132419446331475
12105532497305a6
1349c5655c75800
141d5c13b967b66
15cc83d12e80b6
hex64fc32b69a4e

111034345364046 has 144 divisors (see below), whose sum is σ = 276015100158720. Its totient is φ = 32132861429760.

The previous prime is 111034345364039. The next prime is 111034345364099. The reversal of 111034345364046 is 640463543430111.

111034345364046 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 3 + 4 + 34 + 536 + 40 + 46 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 111034345363992 and 111034345364010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75341490 + ... + 76801098.

It is an arithmetic number, because the mean of its divisors is an integer number (1916771528880).

Almost surely, 2111034345364046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111034345364046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138007550079360).

111034345364046 is an abundant number, since it is smaller than the sum of its proper divisors (164980754794674).

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

111034345364046 is a wasteful number, since it uses less digits than its factorization.

111034345364046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461131 (or 1461115 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 111034345364046 its reverse (640463543430111), we get a palindrome (751497888794157).

The spelling of 111034345364046 in words is "one hundred eleven trillion, thirty-four billion, three hundred forty-five million, three hundred sixty-four thousand, forty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 234 306 338 442 507 663 1014 1326 1471 1521 1989 2873 2942 3042 3978 4413 5746 8619 8826 13239 17238 19123 25007 25857 26478 38246 50014 51714 57369 75021 114738 150042 172107 225063 248599 325091 344214 450126 497198 650182 745797 975273 1459609 1491594 1950546 2237391 2919218 2925819 4226183 4378827 4474782 5851638 8452366 8757654 12678549 13136481 18974917 24813353 25357098 26272962 37949834 38035647 49626706 56924751 74440059 76071294 113849502 148880118 170774253 223320177 246673921 322573589 341548506 446640354 493347842 645147178 740021763 967720767 1480043526 1935441534 2147084839 2220065289 2903162301 4193456657 4294169678 4440130578 5806324602 6441254517 8386913314 12580369971 12882509034 19323763551 25160739942 27912102907 36500442263 37741109913 38647527102 55824205814 73000884526 75482219826 83736308721 109501326789 167472617442 219002653578 251208926163 328503980367 362857337791 474505749419 502417852326 657007960734 725714675582 949011498838 1088572013373 1423517248257 2177144026746 2847034496514 3265716040119 4270551744771 6168574742447 6531432080238 8541103489542 12337149484894 18505724227341 37011448454682 55517172682023 111034345364046