Base | Representation |
---|---|
bin | 10010101010110111… |
… | …11101101001001100 |
3 | 221212112122211120200 |
4 | 21111123331221030 |
5 | 131011433001312 |
6 | 4334334413500 |
7 | 503246612403 |
oct | 112533755114 |
9 | 27775584520 |
10 | 10023328332 |
11 | 42839a8a26 |
12 | 1b38961290 |
13 | c39797814 |
14 | 6b12b663a |
15 | 3d9e6a0dc |
hex | 2556fda4c |
10023328332 has 72 divisors (see below), whose sum is σ = 27291264000. Its totient is φ = 3092744160.
The previous prime is 10023328331. The next prime is 10023328411. The reversal of 10023328332 is 23382332001.
10023328332 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 328 + 332 = 666.
It is a super-2 number, since 2×100233283322 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10023328296 and 10023328305.
It is not an unprimeable number, because it can be changed into a prime (10023328331) 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, 169582 + ... + 220917.
Almost surely, 210023328332 is an apocalyptic number.
10023328332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10023328332 is an abundant number, since it is smaller than the sum of its proper divisors (17267935668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023328332 is a wasteful number, since it uses less digits than its factorization.
10023328332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 390563 (or 390558 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
The spelling of 10023328332 in words is "ten billion, twenty-three million, three hundred twenty-eight thousand, three hundred thirty-two".
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