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200120112 = 24331493109
BaseRepresentation
bin10111110110110…
…01011100110000
3111221120011012000
423323121130300
5402212320422
631505134000
74646664363
oct1373313460
9457504160
10200120112
11a2a65225
125702a300
13325c9b8a
141c8140da
151287ecac
hexbed9730

200120112 has 80 divisors (see below), whose sum is σ = 578460000. Its totient is φ = 66237696.

The previous prime is 200120069. The next prime is 200120131. The reversal of 200120112 is 211021002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200120094 and 200120103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62814 + ... + 65922.

It is an arithmetic number, because the mean of its divisors is an integer number (7230750).

Almost surely, 2200120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289230000).

200120112 is an abundant number, since it is smaller than the sum of its proper divisors (378339888).

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

200120112 is a wasteful number, since it uses less digits than its factorization.

200120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 200120112 is about 14146.3815868228. The cubic root of 200120112 is about 584.9205940874.

Adding to 200120112 its reverse (211021002), we get a palindrome (411141114).

The spelling of 200120112 in words is "two hundred million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 149 216 298 432 447 596 894 1192 1341 1788 2384 2682 3109 3576 4023 5364 6218 7152 8046 9327 10728 12436 16092 18654 21456 24872 27981 32184 37308 49744 55962 64368 74616 83943 111924 149232 167886 223848 335772 447696 463241 671544 926482 1343088 1389723 1852964 2779446 3705928 4169169 5558892 7411856 8338338 11117784 12507507 16676676 22235568 25015014 33353352 50030028 66706704 100060056 200120112