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112211120200 = 23522393234457
BaseRepresentation
bin110100010000001001…
…1011101000001001000
3101201122012000112001211
41220200103131001020
53314302021321300
6123314333422504
711051460533014
oct1504023350110
9351565015054
10112211120200
1143652285483
12198b733aa34
13a773622c5a
145606b17544
152dbb2ae4ba
hex1a204dd048

112211120200 has 48 divisors (see below), whose sum is σ = 261000990180. Its totient is φ = 44865500160.

The previous prime is 112211120173. The next prime is 112211120207. The reversal of 112211120200 is 2021112211.

It can be written as a sum of positive squares in 6 ways, for example, as 2804973444 + 109406146756 = 52962^2 + 330766^2 .

It is not an unprimeable number, because it can be changed into a prime (112211120207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361372 + ... + 595828.

Almost surely, 2112211120200 is an apocalyptic number.

112211120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211120200 is an abundant number, since it is smaller than the sum of its proper divisors (148789869980).

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

112211120200 is a wasteful number, since it uses less digits than its factorization.

112211120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236866 (or 236857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112211120200 its reverse (2021112211), we get a palindrome (114232232411).

The spelling of 112211120200 in words is "one hundred twelve billion, two hundred eleven million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2393 4786 9572 11965 19144 23930 47860 59825 95720 119650 234457 239300 468914 478600 937828 1172285 1875656 2344570 4689140 5861425 9378280 11722850 23445700 46891400 561055601 1122111202 2244222404 2805278005 4488444808 5610556010 11221112020 14026390025 22442224040 28052780050 56105560100 112211120200