Base | Representation |
---|---|
bin | 11101001000101100011… |
… | …01110110100010110000 |
3 | 10112201000101110210200212 |
4 | 32210112031312202300 |
5 | 112400223112010000 |
6 | 2043522105403252 |
7 | 132220123350554 |
oct | 16442615664260 |
9 | 3481011423625 |
10 | 1001100110000 |
11 | 356622a05911 |
12 | 14202a499528 |
13 | 735321875c3 |
14 | 3664c5b3864 |
15 | 1b09311ec35 |
hex | e9163768b0 |
1001100110000 has 100 divisors (see below), whose sum is σ = 2429530851264. Its totient is φ = 399487200000.
The previous prime is 1001100109991. The next prime is 1001100110069. The reversal of 1001100110000 is 110011001.
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (5).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4091105 + ... + 4328895.
Almost surely, 21001100110000 is an apocalyptic number.
1001100110000 is a gapful number since it is divisible by the number (10) 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 1001100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214765425632).
1001100110000 is an abundant number, since it is smaller than the sum of its proper divisors (1428430741264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001100110000 is an equidigital number, since it uses as much as digits as its factorization.
1001100110000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 238240 (or 238219 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 5.
Adding to 1001100110000 its reverse (110011001), we get a palindrome (1001210121001).
It can be divided in two parts, 1001 and 100110000, that added together give a palindrome (100111001).
The spelling of 1001100110000 in words is "one trillion, one billion, one hundred million, one hundred ten thousand".
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