Base | Representation |
---|---|
bin | 101111000010000010… |
… | …0011101110101101000 |
3 | 100122200212100011121022 |
4 | 1132010010131311220 |
5 | 3123322000323422 |
6 | 114222044432012 |
7 | 10203605633540 |
oct | 1360404356550 |
9 | 318625304538 |
10 | 101000011112 |
11 | 39919967270 |
12 | 176a8848608 |
13 | 96a7a519b0 |
14 | 4c61bb2320 |
15 | 2961e1e342 |
hex | 178411dd68 |
101000011112 has 128 divisors (see below), whose sum is σ = 254424360960. Its totient is φ = 36301029120.
The previous prime is 101000011109. The next prime is 101000011127. The reversal of 101000011112 is 211110000101.
It is a happy number.
101000011112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 101000011112.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17959133 + ... + 17964755.
It is an arithmetic number, because the mean of its divisors is an integer number (1987690320).
Almost surely, 2101000011112 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 101000011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127212180480).
101000011112 is an abundant number, since it is smaller than the sum of its proper divisors (153424349848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101000011112 is a wasteful number, since it uses less digits than its factorization.
101000011112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7903 (or 7899 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 8.
Adding to 101000011112 its reverse (211110000101), we get a palindrome (312110011213).
The spelling of 101000011112 in words is "one hundred one billion, eleven thousand, one hundred twelve".
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