Base | Representation |
---|---|
bin | 100000110011111… |
… | …1110110101001100 |
3 | 2211201201121002020 |
4 | 1001213332311030 |
5 | 4223324000022 |
6 | 301130130140 |
7 | 36166226400 |
oct | 10147766514 |
9 | 2751647066 |
10 | 1101000012 |
11 | 515538672 |
12 | 268880950 |
13 | 147140bc8 |
14 | a631d100 |
15 | 669d235c |
hex | 419fed4c |
1101000012 has 72 divisors (see below), whose sum is σ = 3033140544. Its totient is φ = 309865248.
The previous prime is 1100999989. The next prime is 1101000059. The reversal of 1101000012 is 2100001011.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 25423 + ... + 53369.
It is an arithmetic number, because the mean of its divisors is an integer number (42126952).
Almost surely, 21101000012 is an apocalyptic number.
1101000012 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 1101000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516570272).
1101000012 is an abundant number, since it is smaller than the sum of its proper divisors (1932140532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1101000012 is a wasteful number, since it uses less digits than its factorization.
1101000012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28035 (or 28026 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
The square root of 1101000012 is about 33181.3202268987. The cubic root of 1101000012 is about 1032.5928366203.
Adding to 1101000012 its reverse (2100001011), we get a palindrome (3201001023).
Subtracting 1101000012 from its reverse (2100001011), we obtain a palindrome (999000999).
The spelling of 1101000012 in words is "one billion, one hundred one million, twelve", and thus it is an aban number.
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