Base | Representation |
---|---|
bin | 110100001001110111… |
… | …0001000111101011100 |
3 | 101201002110210010020012 |
4 | 1220103232020331130 |
5 | 3313334000341444 |
6 | 123241352542352 |
7 | 11043315252410 |
oct | 1502356107534 |
9 | 351073703205 |
10 | 112000012124 |
11 | 435540a58a0 |
12 | 198586b19b8 |
13 | a73b979930 |
14 | 55c6a82d40 |
15 | 2da79adb9e |
hex | 1a13b88f5c |
112000012124 has 96 divisors (see below), whose sum is σ = 267089281536. Its totient is φ = 39678439680.
The previous prime is 112000012099. The next prime is 112000012129. The reversal of 112000012124 is 421210000211.
It is a happy number.
It is a super-2 number, since 2×1120000121242 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 112000012099 and 112000012108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (112000012129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59522 + ... + 477014.
It is an arithmetic number, because the mean of its divisors is an integer number (2782180016).
Almost surely, 2112000012124 is an apocalyptic number.
112000012124 is a gapful number since it is divisible by the number (14) 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 112000012124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133544640768).
112000012124 is an abundant number, since it is smaller than the sum of its proper divisors (155089269412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112000012124 is a wasteful number, since it uses less digits than its factorization.
112000012124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 417595 (or 417593 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 112000012124 its reverse (421210000211), we get a palindrome (533210012335).
The spelling of 112000012124 in words is "one hundred twelve billion, twelve thousand, one hundred twenty-four".
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