Base | Representation |
---|---|
bin | 111111100010011… |
… | …1100100100110000 |
3 | 12111120201222110112 |
4 | 1333010330210300 |
5 | 13331243044440 |
6 | 551320120452 |
7 | 103555504352 |
oct | 17704744460 |
9 | 5446658415 |
10 | 2132003120 |
11 | 9a4507555 |
12 | 4b6006128 |
13 | 27c914810 |
14 | 16321b0d2 |
15 | c7289965 |
hex | 7f13c930 |
2132003120 has 80 divisors (see below), whose sum is σ = 5366656512. Its totient is φ = 783006720.
The previous prime is 2132003113. The next prime is 2132003161. The reversal of 2132003120 is 213002312.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 2132003095 and 2132003104.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193274 + ... + 204006.
Almost surely, 22132003120 is an apocalyptic number.
2132003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2132003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683328256).
2132003120 is an abundant number, since it is smaller than the sum of its proper divisors (3234653392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132003120 is a wasteful number, since it uses less digits than its factorization.
2132003120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10950 (or 10944 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 2132003120 is about 46173.6193079988. The cubic root of 2132003120 is about 1287.0515599152.
Adding to 2132003120 its reverse (213002312), we get a palindrome (2345005432).
The spelling of 2132003120 in words is "two billion, one hundred thirty-two million, three thousand, one hundred twenty".
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