Base | Representation |
---|---|
bin | 10000000000011101001… |
… | …010110011101010110000 |
3 | 10220011021221221120121221 |
4 | 100000131022303222300 |
5 | 121010300224000422 |
6 | 2201200010554424 |
7 | 142321023141220 |
oct | 20003512635260 |
9 | 3804257846557 |
10 | 1100001000112 |
11 | 394564984433 |
12 | 159230138a14 |
13 | 7c964068561 |
14 | 3b351688080 |
15 | 1d930aec3c7 |
hex | 1001d2b3ab0 |
1100001000112 has 80 divisors (see below), whose sum is σ = 2475566553600. Its totient is φ = 463774316544.
The previous prime is 1100001000031. The next prime is 1100001000113. The reversal of 1100001000112 is 2110001000011.
It is a Harshad number since it is a multiple of its sum of digits (7).
It is a junction number, because it is equal to n+sod(n) for n = 1100001000095 and 1100001000104.
It is not an unprimeable number, because it can be changed into a prime (1100001000113) 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, 1511139 + ... + 2117437.
It is an arithmetic number, because the mean of its divisors is an integer number (30944581920).
Almost surely, 21100001000112 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 1100001000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237783276800).
1100001000112 is an abundant number, since it is smaller than the sum of its proper divisors (1375565553488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100001000112 is a wasteful number, since it uses less digits than its factorization.
1100001000112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 606578 (or 606572 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 7.
Adding to 1100001000112 its reverse (2110001000011), we get a palindrome (3210002000123).
The spelling of 1100001000112 in words is "one trillion, one hundred billion, one million, one hundred twelve", and thus it is an aban number.
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