Base | Representation |
---|---|
bin | 1000101001011001… |
… | …1010101001000100 |
3 | 12222202121201122120 |
4 | 2022112122221010 |
5 | 14223202211400 |
6 | 1022153525540 |
7 | 111343203660 |
oct | 21226325104 |
9 | 5882551576 |
10 | 2321132100 |
11 | a912449a1 |
12 | 5494138b0 |
13 | 2acb63961 |
14 | 1803ad8a0 |
15 | d8b97ca0 |
hex | 8a59aa44 |
2321132100 has 144 divisors (see below), whose sum is σ = 7882912128. Its totient is φ = 516188160.
The previous prime is 2321132087. The next prime is 2321132119. The reversal of 2321132100 is 12311232.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2321132100.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62764 + ... + 92636.
Almost surely, 22321132100 is an apocalyptic number.
2321132100 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 2321132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941456064).
2321132100 is an abundant number, since it is smaller than the sum of its proper divisors (5561780028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2321132100 is a wasteful number, since it uses less digits than its factorization.
2321132100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29934 (or 29927 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 2321132100 is about 48178.1288553219. The cubic root of 2321132100 is about 1324.0364847575.
Adding to 2321132100 its reverse (12311232), we get a palindrome (2333443332).
It can be divided in two parts, 2321132 and 100, that added together give a palindrome (2321232).
The spelling of 2321132100 in words is "two billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred".
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