Base | Representation |
---|---|
bin | 100001111010111011110… |
… | …100001110010111000100 |
3 | 22020211210000121000110100 |
4 | 201322323310032113010 |
5 | 301142413431213012 |
6 | 4542505103124100 |
7 | 330260634110265 |
oct | 41727364162704 |
9 | 8224700530410 |
10 | 2331023304132 |
11 | 819643981706 |
12 | 317926ba3630 |
13 | 13ba78764573 |
14 | 80b71cd296c |
15 | 4097e04b8dc |
hex | 21ebbd0e5c4 |
2331023304132 has 72 divisors (see below), whose sum is σ = 5979842127896. Its totient is φ = 765489222144.
The previous prime is 2331023304131. The next prime is 2331023304157. The reversal of 2331023304132 is 2314033201332.
2331023304132 is a `hidden beast` number, since 2 + 3 + 3 + 10 + 233 + 0 + 413 + 2 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 680070712896 + 1650952591236 = 824664^2 + 1284894^2 .
It is a super-3 number, since 3×23310233041323 (a number of 38 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2331023304096 and 2331023304105.
It is not an unprimeable number, because it can be changed into a prime (2331023304131) 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, 1799058 + ... + 2810454.
Almost surely, 22331023304132 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2331023304132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989921063948).
2331023304132 is an abundant number, since it is smaller than the sum of its proper divisors (3648818823764).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2331023304132 is a wasteful number, since it uses less digits than its factorization.
2331023304132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1012357 (or 1012352 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 2331023304132 its reverse (2314033201332), we get a palindrome (4645056505464).
The spelling of 2331023304132 in words is "two trillion, three hundred thirty-one billion, twenty-three million, three hundred four thousand, one hundred thirty-two".
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