| Base | Representation |
|---|---|
| bin | 10110111111001101101111… |
| … | …001001101110011011101000 |
| 3 | 111020222011121111020010201020 |
| 4 | 112333031233021232123220 |
| 5 | 101222420023100013000 |
| 6 | 555005112033052440 |
| 7 | 30203212335545631 |
| oct | 2677155711563350 |
| 9 | 436864544203636 |
| 10 | 101101100001000 |
| 11 | 2a239810283200 |
| 12 | b40a0a19b7120 |
| 13 | 4454a3caa2488 |
| 14 | 1ad7468418888 |
| 15 | ba4d11b06ba0 |
| hex | 5bf36f26e6e8 |
101101100001000 has 384 divisors, whose sum is σ = 346793740675200. Its totient is φ = 24504023808000.
The previous prime is 101101100000987. The next prime is 101101100001001. The reversal of 101101100001000 is 100001101101.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 101101100001000.
It is not an unprimeable number, because it can be changed into a prime (101101100001001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1818239199 + ... + 1818294801.
It is an arithmetic number, because the mean of its divisors is an integer number (903108699675).
Almost surely, 2101101100001000 is an apocalyptic number.
101101100001000 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 101101100001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173396870337600).
101101100001000 is an abundant number, since it is smaller than the sum of its proper divisors (245692640674200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101101100001000 is a wasteful number, since it uses less digits than its factorization.
101101100001000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 60658 (or 60633 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 101101100001000 its reverse (100001101101), we get a palindrome (101201101102101).
It can be divided in two parts, 101 and 101100001000, that added together give a palindrome (101100001101).
The spelling of 101101100001000 in words is "one hundred one trillion, one hundred one billion, one hundred million, one thousand".
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