Base | Representation |
---|---|
bin | 110100001001111100… |
… | …1100010011110001000 |
3 | 101201002200101221002200 |
4 | 1220103321202132020 |
5 | 3313340232001300 |
6 | 123241541000200 |
7 | 11043352536120 |
oct | 1502371423610 |
9 | 351080357080 |
10 | 112003000200 |
11 | 43555856883 |
12 | 198596b3060 |
13 | a73c484a20 |
14 | 55c721dc80 |
15 | 2da7d9e200 |
hex | 1a13e62788 |
112003000200 has 576 divisors, whose sum is σ = 465045235200. Its totient is φ = 23524300800.
The previous prime is 112003000199. The next prime is 112003000201. The reversal of 112003000200 is 2000300211.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (112003000199) and next prime (112003000201).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (112003000201) 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 143 ways as a sum of consecutive naturals, for example, 39146770 + ... + 39149630.
It is an arithmetic number, because the mean of its divisors is an integer number (807370200).
Almost surely, 2112003000200 is an apocalyptic number.
112003000200 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 112003000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232522617600).
112003000200 is an abundant number, since it is smaller than the sum of its proper divisors (353042235000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112003000200 is a wasteful number, since it uses less digits than its factorization.
112003000200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3142 (or 3130 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 112003000200 its reverse (2000300211), we get a palindrome (114003300411).
The spelling of 112003000200 in words is "one hundred twelve billion, three million, two hundred", and thus it is an aban number.
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