Base | Representation |
---|---|
bin | 1010100001001110110001… |
… | …00111110110001011001010 |
3 | 10000220101211011111221210200 |
4 | 11100213120213312023022 |
5 | 11012443401000310010 |
6 | 121110413115353030 |
7 | 4605143230045302 |
oct | 520473047661312 |
9 | 100811734457720 |
10 | 23132033213130 |
11 | 7409270774a76 |
12 | 2717187152776 |
13 | cba458cc114a |
14 | 59d84c682602 |
15 | 2a1ab5bb1cc0 |
hex | 1509d89f62ca |
23132033213130 has 144 divisors (see below), whose sum is σ = 63496591441920. Its totient is φ = 5841924130368.
The previous prime is 23132033213089. The next prime is 23132033213167. The reversal of 23132033213130 is 3131233023132.
23132033213130 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 20 + 3 + 321 + 313 + 0 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 23132033213094 and 23132033213103.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98099511 + ... + 98335029.
It is an arithmetic number, because the mean of its divisors is an integer number (440948551680).
Almost surely, 223132033213130 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23132033213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31748295720960).
23132033213130 is an abundant number, since it is smaller than the sum of its proper divisors (40364558228790).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23132033213130 is a wasteful number, since it uses less digits than its factorization.
23132033213130 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 238593 (or 238571 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 27.
Adding to 23132033213130 its reverse (3131233023132), we get a palindrome (26263266236262).
The spelling of 23132033213130 in words is "twenty-three trillion, one hundred thirty-two billion, thirty-three million, two hundred thirteen thousand, one hundred thirty".
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