Base | Representation |
---|---|
bin | 111111100000100… |
… | …1010000111011010 |
3 | 12111111212112011200 |
4 | 1333001022013122 |
5 | 13331014310020 |
6 | 551242535030 |
7 | 103544200113 |
oct | 17701120732 |
9 | 5444775150 |
10 | 2131010010 |
11 | 9a39993a8 |
12 | 4b5807476 |
13 | 27c65778c |
14 | 16303d20a |
15 | c7140590 |
hex | 7f04a1da |
2131010010 has 48 divisors (see below), whose sum is σ = 5866549416. Its totient is φ = 534841344.
The previous prime is 2131009997. The next prime is 2131010023. The reversal of 2131010010 is 100101312.
2131010010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2131009997) and next prime (2131010023).
It can be written as a sum of positive squares in 4 ways, for example, as 1786499289 + 344510721 = 42267^2 + 18561^2 .
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 = 2131009974 and 2131010001.
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, 694879 + ... + 697938.
Almost surely, 22131010010 is an apocalyptic number.
2131010010 is an abundant number, since it is smaller than the sum of its proper divisors (3735539406).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131010010 is a wasteful number, since it uses less digits than its factorization.
2131010010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1392847 (or 1392844 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 2131010010 is about 46162.8639709453. The cubic root of 2131010010 is about 1286.8516880548.
Adding to 2131010010 its reverse (100101312), we get a palindrome (2231111322).
The spelling of 2131010010 in words is "two billion, one hundred thirty-one million, ten thousand, ten".
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