| Base | Representation |
|---|---|
| bin | 101111000101010110… |
| … | …0001111001001100000 |
| 3 | 100122222121101001220120 |
| 4 | 1132022230033021200 |
| 5 | 3124033420200000 |
| 6 | 114241053440240 |
| 7 | 10206425112051 |
| oct | 1361254171140 |
| 9 | 318877331816 |
| 10 | 101111100000 |
| 11 | 39976641a69 |
| 12 | 17719aa0080 |
| 13 | 96c4a78871 |
| 14 | 4c7284c728 |
| 15 | 296ba646a0 |
| hex | 178ab0f260 |
101111100000 has 576 divisors, whose sum is σ = 346981791744. Its totient is φ = 25760000000.
The previous prime is 101111099993. The next prime is 101111100001. The reversal of 101111100000 is 1111101.
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (101111100001) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 1001099950 + ... + 1001100050.
It is an arithmetic number, because the mean of its divisors is an integer number (602398944).
Almost surely, 2101111100000 is an apocalyptic number.
101111100000 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 101111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173490895872).
101111100000 is an abundant number, since it is smaller than the sum of its proper divisors (245870691744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101111100000 is an equidigital number, since it uses as much as digits as its factorization.
101111100000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 257 (or 229 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 101111100000 its reverse (1111101), we get a palindrome (101112211101).
It can be divided in two parts, 10111 and 1100000, that added together give a palindrome (1110111).
The spelling of 101111100000 in words is "one hundred one billion, one hundred eleven million, one hundred thousand".
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