Search a number
-
+
111000112112120 = 23571179456189841
BaseRepresentation
bin11001001111010000111010…
…010000001010000111111000
3112120000111200122221002111212
4121033100322100022013320
5104022111212200041440
61032024425245142252
732244331153305230
oct3117207220120770
9476014618832455
10111000112112120
113240597957a630
1210548694b5a988
1349c235b86181a
141d5a61120ccc0
15cc757ac22465
hex64f43a40a1f8

111000112112120 has 128 divisors (see below), whose sum is σ = 315318418790400. Its totient is φ = 34159495219200.

The previous prime is 111000112112119. The next prime is 111000112112173. The reversal of 111000112112120 is 21211211000111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 111000112112095 and 111000112112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227851601 + ... + 228338240.

It is an arithmetic number, because the mean of its divisors is an integer number (2463425146800).

Almost surely, 2111000112112120 is an apocalyptic number.

111000112112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111000112112120 is an abundant number, since it is smaller than the sum of its proper divisors (204318306678280).

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

111000112112120 is a wasteful number, since it uses less digits than its factorization.

111000112112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456189949 (or 456189945 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111000112112120 its reverse (21211211000111), we get a palindrome (132211323112231).

The spelling of 111000112112120 in words is "one hundred eleven trillion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 79 88 110 140 154 158 220 280 308 316 385 395 440 553 616 632 770 790 869 1106 1540 1580 1738 2212 2765 3080 3160 3476 4345 4424 5530 6083 6952 8690 11060 12166 17380 22120 24332 30415 34760 48664 60830 121660 243320 456189841 912379682 1824759364 2280949205 3193328887 3649518728 4561898410 5018088251 6386657774 9123796820 10036176502 12773315548 15966644435 18247593640 20072353004 25090441255 25546631096 31933288870 35126617757 36038997439 40144706008 50180882510 63866577740 70253235514 72077994878 100361765020 127733155480 140506471028 144155989756 175633088785 180194987195 200723530040 252272982073 281012942056 288311979512 351266177570 360389974390 396428971829 504545964146 702532355140 720779948780 792857943658 1009091928292 1261364910365 1405064710280 1441559897560 1585715887316 1982144859145 2018183856584 2522729820730 2775002802803 3171431774632 3964289718290 5045459641460 5550005605606 7928579436580 10090919282920 11100011211212 13875014014015 15857158873160 22200022422424 27750028028030 55500056056060 111000112112120