Search a number
-
+
222111110110120 = 235711454715859687
BaseRepresentation
bin110010100000001001000101…
…110100011001101110101000
31002010102121121011012211100221
4302200021011310121232220
5213103032023142010440
62104220234011535424
764532666236236550
oct6240110564315650
91063377534184327
10222111110110120
116485387a261460
1220ab275545a574
1396c1cac2b456a
143cbc341126160
151aa29466cbd4a
hexca0245d19ba8

222111110110120 has 128 divisors (see below), whose sum is σ = 623201999247360. Its totient is φ = 69214207253760.

The previous prime is 222111110110117. The next prime is 222111110110159. The reversal of 222111110110120 is 21011011111222.

It is a junction number, because it is equal to n+sod(n) for n = 222111110110094 and 222111110110103.

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, 6074917 + ... + 21934603.

It is an arithmetic number, because the mean of its divisors is an integer number (4868765619120).

Almost surely, 2222111110110120 is an apocalyptic number.

222111110110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222111110110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311600999623680).

222111110110120 is an abundant number, since it is smaller than the sum of its proper divisors (401090889137240).

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

222111110110120 is a wasteful number, since it uses less digits than its factorization.

222111110110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15864263 (or 15864259 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 222111110110120 its reverse (21011011111222), we get a palindrome (243122121221342).

The spelling of 222111110110120 in words is "two hundred twenty-two trillion, one hundred eleven billion, one hundred ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 4547 9094 18188 22735 31829 36376 45470 50017 63658 90940 100034 127316 159145 181880 200068 250085 254632 318290 350119 400136 500170 636580 700238 1000340 1273160 1400476 1750595 2000680 2800952 3501190 7002380 14004760 15859687 31719374 63438748 79298435 111017809 126877496 158596870 174456557 222035618 317193740 348913114 444071236 555089045 634387480 697826228 872282785 888142472 1110178090 1221195899 1395652456 1744565570 2220356180 2442391798 3489131140 4440712360 4884783596 6105979495 6978262280 9769567192 12211958990 24423917980 48847835960 72113996789 144227993578 288455987156 360569983945 504797977523 576911974312 721139967890 793253964679 1009595955046 1442279935780 1586507929358 2019191910092 2523989887615 2884559871560 3173015858716 3966269823395 4038383820184 5047979775230 5552777752753 6346031717432 7932539646790 10095959550460 11105555505506 15865079293580 20191919100920 22211111011012 27763888763765 31730158587160 44422222022024 55527777527530 111055555055060 222111110110120