Base | Representation |
---|---|
bin | 11001001111010000110011… |
… | …100100111010000110011000 |
3 | 112120000111101212011211212020 |
4 | 121033100303210322012120 |
5 | 104022111000012023000 |
6 | 1032024410204414440 |
7 | 32244325323310320 |
oct | 3117206344720630 |
9 | 476014355154766 |
10 | 111000000111000 |
11 | 32405921331520 |
12 | 10548663547420 |
13 | 49c23415a8680 |
14 | 1d5a6003b6280 |
15 | cc7570e9bba0 |
hex | 64f43393a198 |
111000000111000 has 2048 divisors, whose sum is σ = 502700470272000. Its totient is φ = 19624633344000.
The previous prime is 111000000110953. The next prime is 111000000111031. The reversal of 111000000111000 is 111000000111.
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 zygodrome in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 111000000111000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2111082711 + ... + 2111135289.
It is an arithmetic number, because the mean of its divisors is an integer number (245459214000).
Almost surely, 2111000000111000 is an apocalyptic number.
111000000111000 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 111000000111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251350235136000).
111000000111000 is an abundant number, since it is smaller than the sum of its proper divisors (391700470161000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111000000111000 is a wasteful number, since it uses less digits than its factorization.
111000000111000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 52690 (or 52676 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 111000000111000 its reverse (111000000111), we get a palindrome (111111000111111).
111000000111000 divided by its reverse (111000000111) gives a cube (1000 = 103).
The spelling of 111000000111000 in words is "one hundred eleven trillion, one hundred eleven thousand".
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