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112200330000 = 2435411437907
BaseRepresentation
bin110100001111110101…
…0010010101100010000
3101201121102201022200210
41220133222102230100
53314241241030000
6123313310244120
711051300032503
oct1503752225420
9351542638623
10112200330000
1143647185660
12198b37b6640
13a771315815
14560550913a
152dba37c350
hex1a1fa92b10

112200330000 has 400 divisors, whose sum is σ = 404364761856. Its totient is φ = 26564160000.

The previous prime is 112200329999. The next prime is 112200330049. The reversal of 112200330000 is 33002211.

It is a happy number.

112200330000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

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 79 ways as a sum of consecutive naturals, for example, 14186047 + ... + 14193953.

Almost surely, 2112200330000 is an apocalyptic number.

112200330000 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 112200330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202182380928).

112200330000 is an abundant number, since it is smaller than the sum of its proper divisors (292164431856).

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

112200330000 is a wasteful number, since it uses less digits than its factorization.

112200330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 112200330000 its reverse (33002211), we get a palindrome (112233332211).

The spelling of 112200330000 in words is "one hundred twelve billion, two hundred million, three hundred thirty thousand".