Base | Representation |
---|---|
bin | 1010000000010010001100… |
… | …1010001001111111110000 |
3 | 1102221120220222202001221112 |
4 | 2200010203022021333300 |
5 | 2420211000241010000 |
6 | 35221155235212452 |
7 | 2213503165465430 |
oct | 240044312117760 |
9 | 42846828661845 |
10 | 11000001110000 |
11 | 356108a947971 |
12 | 1297a5a147128 |
13 | 61a3ac722366 |
14 | 2a058d7842c0 |
15 | 141206828235 |
hex | a0123289ff0 |
11000001110000 has 400 divisors, whose sum is σ = 31296311574528. Its totient is φ = 3665606400000.
The previous prime is 11000001109997. The next prime is 11000001110039. The reversal of 11000001110000 is 1110000011.
It is a tau number, because it is divible by the number of its divisors (400).
It is a Harshad number since it is a multiple of its sum of digits (5).
It is a zygodrome in base 10.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 777762929 + ... + 777777071.
Almost surely, 211000001110000 is an apocalyptic number.
11000001110000 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 11000001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15648155787264).
11000001110000 is an abundant number, since it is smaller than the sum of its proper divisors (20296310464528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11000001110000 is a wasteful number, since it uses less digits than its factorization.
11000001110000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14490 (or 14469 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 5.
Adding to 11000001110000 its reverse (1110000011), we get a palindrome (11001111110011).
It can be divided in two parts, 110000011 and 10000, that added together give a palindrome (110010011).
The spelling of 11000001110000 in words is "eleven trillion, one million, one hundred ten thousand".
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