Base | Representation |
---|---|
bin | 111110100111110… |
… | …0001001010101010 |
3 | 12102102211000222100 |
4 | 1331033201022222 |
5 | 13300403020020 |
6 | 544300234230 |
7 | 103033034601 |
oct | 17517411252 |
9 | 5372730870 |
10 | 2101220010 |
11 | 9890a176a |
12 | 4a783b976 |
13 | 276427266 |
14 | 15d0c6a38 |
15 | c4708a90 |
hex | 7d3e12aa |
2101220010 has 48 divisors (see below), whose sum is σ = 5610834216. Its totient is φ = 545180544.
The previous prime is 2101220003. The next prime is 2101220057. The reversal of 2101220010 is 100221012.
It can be written as a sum of positive squares in 4 ways, for example, as 1606646889 + 494573121 = 40083^2 + 22239^2 .
It is a super-3 number, since 3×21012200103 (a number of 29 digits) contains 333 as substring.
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 = 2101219974 and 2101220001.
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, 312169 + ... + 318828.
Almost surely, 22101220010 is an apocalyptic number.
2101220010 is an abundant number, since it is smaller than the sum of its proper divisors (3509614206).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2101220010 is a wasteful number, since it uses less digits than its factorization.
2101220010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 631047 (or 631044 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2101220010 is about 45839.0664171948. The cubic root of 2101220010 is about 1280.8271041840.
Adding to 2101220010 its reverse (100221012), we get a palindrome (2201441022).
It can be divided in two parts, 2101 and 220010, that added together give a triangular number (222111 = T666).
The spelling of 2101220010 in words is "two billion, one hundred one million, two hundred twenty thousand, ten".
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