Base | Representation |
---|---|
bin | 111110100101111… |
… | …0010111001000000 |
3 | 12102100222110012000 |
4 | 1331023302321000 |
5 | 13300130302112 |
6 | 544223304000 |
7 | 103021531305 |
oct | 17513627100 |
9 | 5370873160 |
10 | 2100244032 |
11 | 988595477 |
12 | 4a744b000 |
13 | 276174c63 |
14 | 15cd110ac |
15 | c45b47dc |
hex | 7d2f2e40 |
2100244032 has 112 divisors (see below), whose sum is σ = 6387388800. Its totient is φ = 675924480.
The previous prime is 2100244019. The next prime is 2100244033. The reversal of 2100244032 is 2304420012.
It is a super-2 number, since 2×21002440322 = 8822049987903234048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2100243996 and 2100244014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2100244033) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29157 + ... + 71067.
Almost surely, 22100244032 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 2100244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193694400).
2100244032 is an abundant number, since it is smaller than the sum of its proper divisors (4287144768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100244032 is a wasteful number, since it uses less digits than its factorization.
2100244032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 41961 (or 41945 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2100244032 is about 45828.4194796198. The cubic root of 2100244032 is about 1280.6287666051.
Adding to 2100244032 its reverse (2304420012), we get a palindrome (4404664044).
The spelling of 2100244032 in words is "two billion, one hundred million, two hundred forty-four thousand, thirty-two".
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