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112022122200100 = 22527513473116669
BaseRepresentation
bin11001011110001000101110…
…110011001111110000100100
3112200122012200022012211120121
4121132020232303033300210
5104140332301240400400
61034130130312211324
732411221421600050
oct3136105663176044
9480565608184517
10112022122200100
113276a351631382
121069277a099b44
134a67843aa1c58
141d93c848a0c60
15ce3e4490b21a
hex65e22eccfc24

112022122200100 has 72 divisors (see below), whose sum is σ = 277820362733760. Its totient is φ = 38406824430720.

The previous prime is 112022122200077. The next prime is 112022122200103. The reversal of 112022122200100 is 1002221220211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112022122200103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34384566 + ... + 37501234.

It is an arithmetic number, because the mean of its divisors is an integer number (3858616149080).

Almost surely, 2112022122200100 is an apocalyptic number.

112022122200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112022122200100 is an abundant number, since it is smaller than the sum of its proper divisors (165798240533660).

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

112022122200100 is a wasteful number, since it uses less digits than its factorization.

112022122200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168037 (or 3168030 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112022122200100 its reverse (1002221220211), we get a palindrome (113024343420311).

The spelling of 112022122200100 in words is "one hundred twelve trillion, twenty-two billion, one hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 51347 102694 205388 256735 359429 513470 718858 1026940 1283675 1437716 1797145 2567350 3116669 3594290 5134700 6233338 7188580 8985725 12466676 15583345 17971450 21816683 31166690 35942900 43633366 62333380 77916725 87266732 109083415 155833450 218166830 311666900 436333660 545417075 1090834150 2181668300 160031603143 320063206286 640126412572 800158015715 1120221222001 1600316031430 2240442444002 3200632062860 4000790078575 4480884888004 5601106110005 8001580157150 11202212220010 16003160314300 22404424440020 28005530550025 56011061100050 112022122200100