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112220101200200 = 235271919072212271
BaseRepresentation
bin11001100001000001000111…
…010001001100100101001000
3112201100010200210122002101212
4121201001013101030211020
5104202103231401401300
61034401111445232252
732431430502410060
oct3141010721144510
9481303623562355
10112220101200200
1132836306612424
1210705010a02688
134a804054a34a6
141d9d6a63bc3a0
15ce9180720935
hex66104744c948

112220101200200 has 192 divisors, whose sum is σ = 314043514214400. Its totient is φ = 36431308396800.

The previous prime is 112220101200173. The next prime is 112220101200209. The reversal of 112220101200200 is 2002101022211.

It is a super-2 number, since 2×1122201012002002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (112220101200209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 49620065 + ... + 51832335.

It is an arithmetic number, because the mean of its divisors is an integer number (1635643303200).

Almost surely, 2112220101200200 is an apocalyptic number.

112220101200200 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 112220101200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157021757107200).

112220101200200 is an abundant number, since it is smaller than the sum of its proper divisors (201823413014200).

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

112220101200200 is a wasteful number, since it uses less digits than its factorization.

112220101200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214220 (or 2214211 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112220101200200 its reverse (2002101022211), we get a palindrome (114222202222411).

The spelling of 112220101200200 in words is "one hundred twelve trillion, two hundred twenty billion, one hundred one million, two hundred thousand, two hundred".