Base | Representation |
---|---|
bin | 11101011100001100000… |
… | …101011000000001100100 |
3 | 21011102001120102002010000 |
4 | 131130030011120001210 |
5 | 231121333334112012 |
6 | 4145225243101300 |
7 | 266111051040432 |
oct | 35341405300144 |
9 | 7142046362100 |
10 | 2023132332132 |
11 | 71000750534a |
12 | 28811ab11830 |
13 | 118a1bb77672 |
14 | 6dcc4b87d52 |
15 | 3795dc2bddc |
hex | 1d70c158064 |
2023132332132 has 120 divisors (see below), whose sum is σ = 5315593547264. Its totient is φ = 670978038528.
The previous prime is 2023132332073. The next prime is 2023132332139. The reversal of 2023132332132 is 2312332313202.
2023132332132 is a `hidden beast` number, since 2 + 0 + 2 + 313 + 2 + 332 + 13 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2023132332096 and 2023132332105.
It is not an unprimeable number, because it can be changed into a prime (2023132332139) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53155533 + ... + 53193579.
Almost surely, 22023132332132 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 2023132332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657796773632).
2023132332132 is an abundant number, since it is smaller than the sum of its proper divisors (3292461215132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023132332132 is a wasteful number, since it uses less digits than its factorization.
2023132332132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38887 (or 38876 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 2023132332132 its reverse (2312332313202), we get a palindrome (4335464645334).
The spelling of 2023132332132 in words is "two trillion, twenty-three billion, one hundred thirty-two million, three hundred thirty-two thousand, one hundred thirty-two".
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