Base | Representation |
---|---|
bin | 11001011111011100100010… |
… | …100111011110111001011010 |
3 | 112200221210221212002120002100 |
4 | 121133130202213132321122 |
5 | 104143321101144244002 |
6 | 1034235332052144230 |
7 | 32420555436261024 |
oct | 3137344247367132 |
9 | 480853855076070 |
10 | 112112112103002 |
11 | 327a4530586360 |
12 | 106a80b3608076 |
13 | 4a7318579a3cb |
14 | 1d983802d1014 |
15 | ce645ee4111c |
hex | 65f7229dee5a |
112112112103002 has 96 divisors (see below), whose sum is σ = 280634349138624. Its totient is φ = 31968745459200.
The previous prime is 112112112102997. The next prime is 112112112103127. The reversal of 112112112103002 is 200301211211211.
It is a happy number.
112112112103002 is a `hidden beast` number, since 1 + 1 + 211 + 211 + 210 + 30 + 0 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14185008 + ... + 20626164.
It is an arithmetic number, because the mean of its divisors is an integer number (2923274470194).
Almost surely, 2112112112103002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 112112112103002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140317174569312).
112112112103002 is an abundant number, since it is smaller than the sum of its proper divisors (168522237035622).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112112112103002 is a wasteful number, since it uses less digits than its factorization.
112112112103002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6446364 (or 6446361 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 18.
Adding to 112112112103002 its reverse (200301211211211), we get a palindrome (312413323314213).
The spelling of 112112112103002 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twelve million, one hundred three thousand, two".
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