Base | Representation |
---|---|
bin | 100001011100011… |
… | …1001010010111000 |
3 | 2220012122020002101 |
4 | 1002320321102320 |
5 | 4244241223000 |
6 | 303204513144 |
7 | 36544431121 |
oct | 10270712270 |
9 | 2805566071 |
10 | 1122211000 |
11 | 526505809 |
12 | 2739ab7b4 |
13 | 14b6595a1 |
14 | a9081048 |
15 | 687c1e6a |
hex | 42e394b8 |
1122211000 has 128 divisors (see below), whose sum is σ = 2726680320. Its totient is φ = 432000000.
The previous prime is 1122210997. The next prime is 1122211007. The reversal of 1122211000 is 1122211.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a zygodrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1122211007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4140865 + ... + 4141135.
It is an arithmetic number, because the mean of its divisors is an integer number (21302190).
Almost surely, 21122211000 is an apocalyptic number.
1122211000 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 1122211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363340160).
1122211000 is an abundant number, since it is smaller than the sum of its proper divisors (1604469320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1122211000 is a wasteful number, since it uses less digits than its factorization.
1122211000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 434 (or 420 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
The square root of 1122211000 is about 33499.4179053905. The cubic root of 1122211000 is about 1039.1817404944.
Adding to 1122211000 its reverse (1122211), we get a palindrome (1123333211).
1122211000 divided by its reverse (1122211) gives a cube (1000 = 103).
It can be divided in two parts, 11222 and 11000, that added together give a palindrome (22222).
The spelling of 1122211000 in words is "one billion, one hundred twenty-two million, two hundred eleven thousand".
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