Base | Representation |
---|---|
bin | 100001101001010101001… |
… | …110101010100110101101 |
3 | 22012000222210001012010200 |
4 | 201221111032222212231 |
5 | 300340211303010013 |
6 | 4530101353224113 |
7 | 326021355251253 |
oct | 41512516524655 |
9 | 8160883035120 |
10 | 2312122313133 |
11 | 811624850396 |
12 | 314131102039 |
13 | 13a055981519 |
14 | 7dc9b96c5d3 |
15 | 40224a1ce73 |
hex | 21a553aa9ad |
2312122313133 has 24 divisors (see below), whose sum is σ = 3362438547000. Its totient is φ = 1530936835584.
The previous prime is 2312122313119. The next prime is 2312122313167. The reversal of 2312122313133 is 3313132212132.
2312122313133 is a `hidden beast` number, since 2 + 3 + 1 + 212 + 2 + 313 + 133 = 666.
2312122313133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 681858108009 + 1630264205124 = 825747^2 + 1276818^2 .
It is not a de Polignac number, because 2312122313133 - 26 = 2312122313069 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 2312122313097 and 2312122313106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2312122313833) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16786441 + ... + 16923617.
It is an arithmetic number, because the mean of its divisors is an integer number (140101606125).
Almost surely, 22312122313133 is an apocalyptic number.
It is an amenable number.
2312122313133 is a deficient number, since it is larger than the sum of its proper divisors (1050316233867).
2312122313133 is a wasteful number, since it uses less digits than its factorization.
2312122313133 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 149901 (or 149898 counting only the distinct ones).
The product of its digits is 3888, while the sum is 27.
Adding to 2312122313133 its reverse (3313132212132), we get a palindrome (5625254525265).
The spelling of 2312122313133 in words is "two trillion, three hundred twelve billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred thirty-three".
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