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111422221100 = 225217457143419
BaseRepresentation
bin110011111000101001…
…0000010101100101100
3101122121012120021221122
41213301102002230230
53311143042033400
6123104152520112
711023101152441
oct1476122025454
9348535507848
10111422221100
1143287a36953
12197170b0038
13a679058a58
14557003b9c8
152d71dcb685
hex19f1482b2c

111422221100 has 72 divisors (see below), whose sum is σ = 256570922160. Its totient is φ = 41855109120.

The previous prime is 111422221093. The next prime is 111422221123. The reversal of 111422221100 is 1122224111.

It is a super-2 number, since 2×1114222211002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705191 + ... + 848609.

It is an arithmetic number, because the mean of its divisors is an integer number (3563485030).

Almost surely, 2111422221100 is an apocalyptic number.

111422221100 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 111422221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128285461080).

111422221100 is an abundant number, since it is smaller than the sum of its proper divisors (145148701060).

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

111422221100 is a wasteful number, since it uses less digits than its factorization.

111422221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143907 (or 143900 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 111422221100 its reverse (1122224111), we get a palindrome (112544445211).

The spelling of 111422221100 in words is "one hundred eleven billion, four hundred twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 457 850 914 1700 1828 2285 4570 7769 9140 11425 15538 22850 31076 38845 45700 77690 143419 155380 194225 286838 388450 573676 717095 776900 1434190 2438123 2868380 3585475 4876246 7170950 9752492 12190615 14341900 24381230 48762460 60953075 65542483 121906150 131084966 243812300 262169932 327712415 655424830 1114222211 1310849660 1638562075 2228444422 3277124150 4456888844 5571111055 6554248300 11142222110 22284444220 27855555275 55711110550 111422221100