Base | Representation |
---|---|
bin | 11001001111011011001001… |
… | …001011100111111100000000 |
3 | 112120001120001102120122001020 |
4 | 121033123021023213330000 |
5 | 104022301213100000000 |
6 | 1032033443441505440 |
7 | 32245200354643614 |
oct | 3117331113477400 |
9 | 476046042518036 |
10 | 111011100000000 |
11 | 3240a5a7995402 |
12 | 1054a840942280 |
13 | 49c33c0108125 |
14 | 1d5ad74649344 |
15 | cc79c06bcba0 |
hex | 64f6c92e7f00 |
111011100000000 has 1296 divisors, whose sum is σ = 387297879828384. Its totient is φ = 28200960000000.
The previous prime is 111011099999999. The next prime is 111011100000001. The reversal of 111011100000000 is 1110111.
It is an interprime number because it is at equal distance from previous prime (111011099999999) and next prime (111011100000001).
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 (111011100000001) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 810299999932 + ... + 810300000068.
Almost surely, 2111011100000000 is an apocalyptic number.
111011100000000 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 111011100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193648939914192).
111011100000000 is an abundant number, since it is smaller than the sum of its proper divisors (276286779828384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111011100000000 is an frugal number, since it uses more digits than its factorization.
111011100000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 306 (or 257 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 111011100000000 its reverse (1110111), we get a palindrome (111011101110111).
111011100000000 divided by its reverse (1110111) gives a 8-th power (100000000 = 108).
The spelling of 111011100000000 in words is "one hundred eleven trillion, eleven billion, one hundred million", and thus it is an aban number.
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