Base | Representation |
---|---|
bin | 10100101110111101… |
… | …00101010011010000 |
3 | 1001201202112012111100 |
4 | 22113132211103100 |
5 | 140244103430222 |
6 | 5040314344400 |
7 | 542562404442 |
oct | 122736452320 |
9 | 31652465440 |
10 | 11131311312 |
11 | 47a2375a40 |
12 | 21a7a2b100 |
13 | 10851b1c54 |
14 | 7784d2492 |
15 | 45237b4ac |
hex | 2977a54d0 |
11131311312 has 120 divisors (see below), whose sum is σ = 34031937888. Its totient is φ = 3368390400.
The previous prime is 11131311307. The next prime is 11131311349. The reversal of 11131311312 is 21311313111.
11131311312 is a `hidden beast` number, since 1 + 11 + 31 + 311 + 312 = 666.
11131311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×111313113122 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 1219887 + ... + 1228977.
Almost surely, 211131311312 is an apocalyptic number.
11131311312 is a gapful number since it is divisible by the number (12) 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 11131311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015968944).
11131311312 is an abundant number, since it is smaller than the sum of its proper divisors (22900626576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11131311312 is a wasteful number, since it uses less digits than its factorization.
11131311312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9889 (or 9880 counting only the distinct ones).
The product of its digits is 54, while the sum is 18.
Adding to 11131311312 its reverse (21311313111), we get a palindrome (32442624423).
The spelling of 11131311312 in words is "eleven billion, one hundred thirty-one million, three hundred eleven thousand, three hundred twelve".
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