Base | Representation |
---|---|
bin | 111111000110000… |
… | …1110111111001010 |
3 | 12110112202200001200 |
4 | 1332030032333022 |
5 | 13313441330310 |
6 | 550025325030 |
7 | 103315235061 |
oct | 17614167712 |
9 | 5415680050 |
10 | 2117136330 |
11 | 997082951 |
12 | 4b1036776 |
13 | 27980a9ba |
14 | 16126b1d8 |
15 | c5cee9c0 |
hex | 7e30efca |
2117136330 has 48 divisors (see below), whose sum is σ = 5506824960. Its totient is φ = 564336864.
The previous prime is 2117136323. The next prime is 2117136331. The reversal of 2117136330 is 336317112.
2117136330 is a `hidden beast` number, since 2 + 1 + 17 + 13 + 633 + 0 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 2117136294 and 2117136303.
It is not an unprimeable number, because it can be changed into a prime (2117136331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425839 + ... + 430781.
It is an arithmetic number, because the mean of its divisors is an integer number (114725520).
Almost surely, 22117136330 is an apocalyptic number.
2117136330 is an abundant number, since it is smaller than the sum of its proper divisors (3389688630).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2117136330 is a wasteful number, since it uses less digits than its factorization.
2117136330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9715 (or 9712 counting only the distinct ones).
The product of its (nonzero) digits is 2268, while the sum is 27.
The square root of 2117136330 is about 46012.3497552559. The cubic root of 2117136330 is about 1284.0529755125.
The spelling of 2117136330 in words is "two billion, one hundred seventeen million, one hundred thirty-six thousand, three hundred thirty".
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