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112212022000 = 2453134315847
BaseRepresentation
bin110100010000001011…
…0111001001011110000
3101201122020201100002211
41220200112321023300
53314302234201000
6123314405021504
711051501310121
oct1504026711360
9351566640084
10112212022000
1143652840a71
12198b76b4894
13a77387a570
145606cb0048
152dbb3db7ba
hex1a205b92f0

112212022000 has 80 divisors (see below), whose sum is σ = 292200172992. Its totient is φ = 41432121600.

The previous prime is 112212021979. The next prime is 112212022003. The reversal of 112212022000 is 220212211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112212022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2131924 + ... + 2183923.

Almost surely, 2112212022000 is an apocalyptic number.

112212022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112212022000 is an abundant number, since it is smaller than the sum of its proper divisors (179988150992).

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

112212022000 is a wasteful number, since it uses less digits than its factorization.

112212022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315883 (or 4315867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112212022000 its reverse (220212211), we get a palindrome (112432234211).

The spelling of 112212022000 in words is "one hundred twelve billion, two hundred twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 4315847 8631694 17263388 21579235 34526776 43158470 56106011 69053552 86316940 107896175 112212022 172633880 215792350 224424044 280530055 345267760 431584700 448848088 539480875 561060110 863169400 897696176 1078961750 1122120220 1402650275 1726338800 2157923500 2244240440 2805300550 4315847000 4488480880 5610601100 7013251375 8631694000 11221202200 14026502750 22442404400 28053005500 56106011000 112212022000