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200112211111120 = 245711153121218647
BaseRepresentation
bin101101100000000001000001…
…010000100010110011010000
3222020112112121001122010011221
4231200001001100202303100
5202212114302021023440
61545334140343014424
760102426066112210
oct5540010120426320
9866475531563157
10200112211111120
1158842126291a20
121a53b10673a414
1387876678aa959
14375b6a8738240
1518205a034ad4a
hexb60041422cd0

200112211111120 has 160 divisors (see below), whose sum is σ = 580444433750016. Its totient is φ = 62331894489600.

The previous prime is 200112211111051. The next prime is 200112211111129. The reversal of 200112211111120 is 21111112211002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200112211111094 and 200112211111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200112211111129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1178364 + ... + 20040283.

Almost surely, 2200112211111120 is an apocalyptic number.

200112211111120 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 200112211111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290222216875008).

200112211111120 is an abundant number, since it is smaller than the sum of its proper divisors (380332222638896).

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

200112211111120 is a wasteful number, since it uses less digits than its factorization.

200112211111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21220209 (or 21220203 counting only the distinct ones).

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

Adding to 200112211111120 its reverse (21111112211002), we get a palindrome (221223323322122).

The spelling of 200112211111120 in words is "two hundred trillion, one hundred twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1531 1540 3062 3080 6124 6160 7655 10717 12248 15310 16841 21434 24496 30620 33682 42868 53585 61240 67364 84205 85736 107170 117887 122480 134728 168410 171472 214340 235774 269456 336820 428680 471548 589435 673640 857360 943096 1178870 1347280 1886192 2357740 4715480 9430960 21218647 42437294 84874588 106093235 148530529 169749176 212186470 233405117 297061058 339498352 424372940 466810234 594122116 742652645 848745880 933620468 1167025585 1188244232 1485305290 1633835819 1697491760 1867240936 2334051170 2376488464 2970610580 3267671638 3734481872 4668102340 5941221160 6535343276 8169179095 9336204680 11882442320 13070686552 16338358190 18672409360 26141373104 32485748557 32676716380 64971497114 65353432760 129942994228 130706865520 162428742785 227400239899 259885988456 324857485570 357343234127 454800479798 519771976912 649714971140 714686468254 909600959596 1137001199495 1299429942280 1429372936508 1786716170635 1819201919192 2274002398990 2501402638889 2598859884560 2858745873016 3573432341270 3638403838384 4548004797980 5002805277778 5717491746032 7146864682540 9096009595960 10005610555556 12507013194445 14293729365080 18192019191920 20011221111112 25014026388890 28587458730160 40022442222224 50028052777780 100056105555560 200112211111120