Base | Representation |
---|---|
bin | 11110100011110111110… |
… | …101010110111001010010 |
3 | 21102202201201102100012100 |
4 | 132203313311112321102 |
5 | 233402002103001320 |
6 | 4244435030141230 |
7 | 304504325316204 |
oct | 36436765267122 |
9 | 7382651370170 |
10 | 2100102000210 |
11 | 73a714914185 |
12 | 29b01bab1816 |
13 | 123067237b66 |
14 | 739072a2774 |
15 | 39966164790 |
hex | 1e8f7d56e52 |
2100102000210 has 48 divisors (see below), whose sum is σ = 5465101838040. Its totient is φ = 559531134720.
The previous prime is 2100102000187. The next prime is 2100102000239. The reversal of 2100102000210 is 120002010012.
It can be written as a sum of positive squares in 4 ways, for example, as 1867707622881 + 232394377329 = 1366641^2 + 482073^2 .
It is a super-2 number, since 2×21001020002102 (a number of 25 digits) contains 22 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 = 2100102000192 and 2100102000201.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10232521 + ... + 10435740.
Almost surely, 22100102000210 is an apocalyptic number.
2100102000210 is an abundant number, since it is smaller than the sum of its proper divisors (3364999837830).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100102000210 is a wasteful number, since it uses less digits than its factorization.
2100102000210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20669403 (or 20669400 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 2100102000210 its reverse (120002010012), we get a palindrome (2220104010222).
The spelling of 2100102000210 in words is "two trillion, one hundred billion, one hundred two million, two hundred ten", and thus it is an aban number.
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