| Base | Representation |
|---|---|
| bin | 11101011011001000101… |
| … | …11001000101011001000 |
| 3 | 10120122120101221021000020 |
| 4 | 32231210113020223020 |
| 5 | 113031012240213000 |
| 6 | 2052240354140440 |
| 7 | 133020356365542 |
| oct | 16554427105310 |
| 9 | 3518511837006 |
| 10 | 1011001101000 |
| 11 | 35a843845a00 |
| 12 | 143b32281720 |
| 13 | 7444c4ba367 |
| 14 | 36d0b522692 |
| 15 | 1b472471ba0 |
| hex | eb645c8ac8 |
1011001101000 has 768 divisors, whose sum is σ = 3696218023680. Its totient is φ = 229098496000.
The previous prime is 1011001100951. The next prime is 1011001101013. The reversal of 1011001101000 is 1011001101.
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 1011001101000.
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 191 ways as a sum of consecutive naturals, for example, 1067582527 + ... + 1067583473.
It is an arithmetic number, because the mean of its divisors is an integer number (4812783885).
Almost surely, 21011001101000 is an apocalyptic number.
1011001101000 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 1011001101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848109011840).
1011001101000 is an abundant number, since it is smaller than the sum of its proper divisors (2685216922680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1011001101000 is a wasteful number, since it uses less digits than its factorization.
1011001101000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1183 (or 1158 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 1011001101000 its reverse (1011001101), we get a palindrome (1012012102101).
1011001101000 divided by its reverse (1011001101) gives a cube (1000 = 103).
The spelling of 1011001101000 in words is "one trillion, eleven billion, one million, one hundred one thousand".
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