Base | Representation |
---|---|
bin | 10100101111000011… |
… | …01000100110000000 |
3 | 1001201211000211210000 |
4 | 22113201220212000 |
5 | 140244310024412 |
6 | 5040343440000 |
7 | 542602245534 |
oct | 122741504600 |
9 | 31654024700 |
10 | 11132111232 |
11 | 47a2871a30 |
12 | 21a8156000 |
13 | 1085402088 |
14 | 77865dbc4 |
15 | 4524884dc |
hex | 297868980 |
11132111232 has 160 divisors (see below), whose sum is σ = 36141078600. Its totient is φ = 3373332480.
The previous prime is 11132111183. The next prime is 11132111233. The reversal of 11132111232 is 23211123111.
11132111232 is a `hidden beast` number, since 111 + 321 + 1 + 1 + 232 = 666.
It is a super-3 number, since 3×111321112323 (a number of 31 digits) contains 333 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 and also a Zuckerman number because it is divisible by the product of its digits.
It is an insolite number, because it is divisible by the sum (36) and by the product (5184) of the squares of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11132111233) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65244 + ... + 162852.
Almost surely, 211132111232 is an apocalyptic number.
11132111232 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 11132111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070539300).
11132111232 is an abundant number, since it is smaller than the sum of its proper divisors (25008967368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11132111232 is an equidigital number, since it uses as much as digits as its factorization.
11132111232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 97646 (or 97625 counting only the distinct ones).
The product of its digits is 72, while the sum is 18.
Adding to 11132111232 its reverse (23211123111), we get a palindrome (34343234343).
The spelling of 11132111232 in words is "eleven billion, one hundred thirty-two million, one hundred eleven thousand, two hundred thirty-two".
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