Base | Representation |
---|---|
bin | 111110100101110… |
… | …1101110010010000 |
3 | 12102100221101111111 |
4 | 1331023231302100 |
5 | 13300124114440 |
6 | 544223023104 |
7 | 103021413322 |
oct | 17513556220 |
9 | 5370841444 |
10 | 2100223120 |
11 | 988580796 |
12 | 4a743aa94 |
13 | 276168598 |
14 | 15cd07612 |
15 | c45ad4ea |
hex | 7d2edc90 |
2100223120 has 40 divisors (see below), whose sum is σ = 4904384760. Its totient is φ = 836413440.
The previous prime is 2100223087. The next prime is 2100223187. The reversal of 2100223120 is 213220012.
It can be written as a sum of positive squares in 4 ways, for example, as 946669824 + 1153553296 = 30768^2 + 33964^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a self number, because there is not a number n which added to its sum of digits gives 2100223120.
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 7 ways as a sum of consecutive naturals, for example, 39001 + ... + 75640.
It is an arithmetic number, because the mean of its divisors is an integer number (122609619).
Almost surely, 22100223120 is an apocalyptic number.
2100223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2100223120 is an abundant number, since it is smaller than the sum of its proper divisors (2804161640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100223120 is a wasteful number, since it uses less digits than its factorization.
2100223120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114883 (or 114877 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 2100223120 is about 45828.1913236820. The cubic root of 2100223120 is about 1280.6245162105.
Adding to 2100223120 its reverse (213220012), we get a palindrome (2313443132).
The spelling of 2100223120 in words is "two billion, one hundred million, two hundred twenty-three thousand, one hundred twenty".
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