Base | Representation |
---|---|
bin | 1010000000010010001100… |
… | …0110010110000111111100 |
3 | 1102221120220220212022201020 |
4 | 2200010203012112013330 |
5 | 2420211000012023400 |
6 | 35221155201544140 |
7 | 2213503154135250 |
oct | 240044306260774 |
9 | 42846826768636 |
10 | 11000000111100 |
11 | 356108a325430 |
12 | 1297a59945050 |
13 | 61a3ac4627b0 |
14 | 2a058d5a4260 |
15 | 1412066cc2a0 |
hex | a01231961fc |
11000000111100 has 576 divisors, whose sum is σ = 43887279700992. Its totient is φ = 2052864000000.
The previous prime is 11000000111057. The next prime is 11000000111119. The reversal of 11000000111100 is 111100000011.
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.
11000000111100 is a modest number, since divided by 111100 gives 110000 as remainder.
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 191 ways as a sum of consecutive naturals, for example, 10616100 + ... + 11606100.
Almost surely, 211000000111100 is an apocalyptic number.
11000000111100 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 11000000111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21943639850496).
11000000111100 is an abundant number, since it is smaller than the sum of its proper divisors (32887279589892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11000000111100 is a wasteful number, since it uses less digits than its factorization.
11000000111100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 990086 (or 990079 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 11000000111100 its reverse (111100000011), we get a palindrome (11111100111111).
The spelling of 11000000111100 in words is "eleven trillion, one hundred eleven thousand, one hundred".
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