Search a number
-
+
111000112200120 = 233511136468538007
BaseRepresentation
bin11001001111010000111010…
…010000011111100110111000
3112120000111200200002120020010
4121033100322100133212320
5104022111212210400440
61032024425251101520
732244331154122623
oct3117207220374670
9476014620076203
10111000112200120
113240597962a760
1210548694ba18a0
1349c235b8928b0
141d5a611232dba
15cc757ac3d580
hex64f43a41f9b8

111000112200120 has 128 divisors (see below), whose sum is σ = 391217178723840. Its totient is φ = 24839185943040.

The previous prime is 111000112200091. The next prime is 111000112200137. The reversal of 111000112200120 is 21002211000111.

111000112200120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111000112200096 and 111000112200105.

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, 3234251844 + ... + 3234286163.

It is an arithmetic number, because the mean of its divisors is an integer number (3056384208780).

Almost surely, 2111000112200120 is an apocalyptic number.

111000112200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111000112200120 is an abundant number, since it is smaller than the sum of its proper divisors (280217066523720).

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

111000112200120 is a wasteful number, since it uses less digits than its factorization.

111000112200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6468538045 (or 6468538041 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111000112200120 its reverse (21002211000111), we get a palindrome (132002323200231).

The spelling of 111000112200120 in words is "one hundred eleven trillion, one hundred twelve million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 6468538007 12937076014 19405614021 25874152028 32342690035 38811228042 51748304056 64685380070 71153918077 77622456084 84090994091 97028070105 129370760140 142307836154 155244912168 168181988182 194056140210 213461754231 252272982273 258741520280 284615672308 336363976364 355769590385 388112280420 420454970455 426923508462 504545964546 569231344616 672727952728 711539180770 776224560840 840909940910 853847016924 925000935001 1009091929092 1067308771155 1261364911365 1423078361540 1681819881820 1707694033848 1850001870002 2018183858184 2134617542310 2522729822730 2775002805003 2846156723080 3363639763640 3700003740004 4269235084620 4625004675005 5045459645460 5550005610006 7400007480008 8538470169240 9250009350010 10090919290920 11100011220012 13875014025015 18500018700020 22200022440024 27750028050030 37000037400040 55500056100060 111000112200120