Search a number
-
+
112211101200 = 24352118500841
BaseRepresentation
bin110100010000001001…
…1011000011000010000
3101201122011222120000010
41220200103120120100
53314302020214300
6123314333154520
711051460423432
oct1504023303020
9351564876003
10112211101200
1143652272180
12198b732ba40
13a773617403
145606b10652
152dbb2a8a50
hex1a204d8610

112211101200 has 120 divisors (see below), whose sum is σ = 392126839776. Its totient is φ = 27202688000.

The previous prime is 112211101169. The next prime is 112211101231. The reversal of 112211101200 is 2101112211.

It is an interprime number because it is at equal distance from previous prime (112211101169) and next prime (112211101231).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4237221 + ... + 4263620.

Almost surely, 2112211101200 is an apocalyptic number.

112211101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211101200 is an abundant number, since it is smaller than the sum of its proper divisors (279915738576).

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

112211101200 is a wasteful number, since it uses less digits than its factorization.

112211101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500873 (or 8500862 counting only the distinct ones).

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

Adding to 112211101200 its reverse (2101112211), we get a palindrome (114312213411).

The spelling of 112211101200 in words is "one hundred twelve billion, two hundred eleven million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 8500841 17001682 25502523 34003364 42504205 51005046 68006728 85008410 93509251 102010092 127512615 136013456 170016820 187018502 204020184 212521025 255025230 280527753 340033640 374037004 408040368 425042050 467546255 510050460 561055506 637563075 680067280 748074008 850084100 935092510 1020100920 1122111012 1275126150 1402638765 1496148016 1700168200 1870185020 2040201840 2244222024 2337731275 2550252300 2805277530 3400336400 3740370040 4488444048 4675462550 5100504600 5610555060 7013193825 7480740080 9350925100 10201009200 11221110120 14026387650 18701850200 22442220240 28052775300 37403700400 56105550600 112211101200