Base | Representation |
---|---|
bin | 100001011100000… |
… | …0101110010001100 |
3 | 2220012020111200000 |
4 | 1002320011302030 |
5 | 4244213000022 |
6 | 303200204300 |
7 | 36542562030 |
oct | 10270056214 |
9 | 2805214600 |
10 | 1122000012 |
11 | 526381241 |
12 | 273909690 |
13 | 14b5b4543 |
14 | a90281c0 |
15 | 6877e6ac |
hex | 42e05c8c |
1122000012 has 144 divisors (see below), whose sum is σ = 3396137472. Its totient is φ = 317260800.
The previous prime is 1121999993. The next prime is 1122000013. The reversal of 1122000012 is 2100002211.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1121999958 and 1122000003.
It is not an unprimeable number, because it can be changed into a prime (1122000013) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700012 + ... + 701612.
It is an arithmetic number, because the mean of its divisors is an integer number (23584288).
Almost surely, 21122000012 is an apocalyptic number.
1122000012 is a gapful number since it is divisible by the number (12) 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 1122000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698068736).
1122000012 is an abundant number, since it is smaller than the sum of its proper divisors (2274137460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1122000012 is a wasteful number, since it uses less digits than its factorization.
1122000012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1730 (or 1716 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1122000012 is about 33496.2686280129. The cubic root of 1122000012 is about 1039.1166105502.
Adding to 1122000012 its reverse (2100002211), we get a palindrome (3222002223).
The spelling of 1122000012 in words is "one billion, one hundred twenty-two million, twelve", and thus it is an aban number.
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