Search a number
-
+
112112110022000 = 24531138281133121
BaseRepresentation
bin11001011111011100100010…
…011111100010110101110000
3112200221210221201011211111012
4121133130202133202311300
5104143321100131201000
61034235331535410052
732420555412502664
oct3137344237426560
9480853851154435
10112112110022000
11327a452a394920
12106a80b2983928
134a7318521c14a
141d9837dd0c8a4
15ce645eb7e735
hex65f7227e2d70

112112110022000 has 160 divisors (see below), whose sum is σ = 295741309076928. Its totient is φ = 40766668800000.

The previous prime is 112112110021957. The next prime is 112112110022023. The reversal of 112112110022000 is 220011211211.

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, 842115440 + ... + 842248560.

Almost surely, 2112112110022000 is an apocalyptic number.

112112110022000 is a gapful number since it is divisible by the number (10) 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 112112110022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147870654538464).

112112110022000 is an abundant number, since it is smaller than the sum of its proper divisors (183629199054928).

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

112112110022000 is a wasteful number, since it uses less digits than its factorization.

112112110022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171436 (or 171420 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112112110022000 its reverse (220011211211), we get a palindrome (112332121233211).

The spelling of 112112110022000 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 38281 76562 133121 153124 191405 266242 306248 382810 421091 532484 612496 665605 765620 842182 957025 1064968 1331210 1464331 1531240 1684364 1914050 2105455 2129936 2662420 2928662 3062480 3328025 3368728 3828100 4210910 4785125 5324840 5857324 6656050 6737456 7321655 7656200 8421820 9570250 10527275 10649680 11714648 13312100 14643310 15312400 16640125 16843640 19140500 21054550 23429296 26624200 29286620 33280250 33687280 36608275 38281000 42109100 52636375 53248400 58573240 66560500 73216550 76562000 84218200 105272750 117146480 133121000 146433100 168436400 183041375 210545500 266242000 292866200 366082750 421091000 585732400 732165500 842182000 1464331000 2928662000 5096005001 10192010002 20384020004 25480025005 40768040008 50960050010 56056055011 81536080016 101920100020 112112110022 127400125025 203840200040 224224220044 254800250050 280280275055 407680400080 448448440088 509600500100 560560550110 637000625125 896896880176 1019201000200 1121121100220 1274001250250 1401401375275 2038402000400 2242242200440 2548002500500 2802802750550 4484484400880 5096005001000 5605605501100 7007006876375 10192010002000 11211211002200 14014013752750 22422422004400 28028027505500 56056055011000 112112110022000