Base | Representation |
---|---|
bin | 100001101111100… |
… | …0011001110000000 |
3 | 2220220110101102021 |
4 | 1003133003032000 |
5 | 4304321304440 |
6 | 304203131224 |
7 | 40025436613 |
oct | 10337031600 |
9 | 2826411367 |
10 | 1132213120 |
11 | 531117525 |
12 | 277213b14 |
13 | 15074c0bc |
14 | aa52617a |
15 | 695ea84a |
hex | 437c3380 |
1132213120 has 64 divisors (see below), whose sum is σ = 2711478240. Its totient is φ = 452085760.
The previous prime is 1132213081. The next prime is 1132213153. The reversal of 1132213120 is 213122311.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 1132213094 and 1132213103.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 474330 + ... + 476710.
Almost surely, 21132213120 is an apocalyptic number.
1132213120 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 1132213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355739120).
1132213120 is an abundant number, since it is smaller than the sum of its proper divisors (1579265120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1132213120 is an equidigital number, since it uses as much as digits as its factorization.
1132213120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3143 (or 3131 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
The square root of 1132213120 is about 33648.3747007192. The cubic root of 1132213120 is about 1042.2599769079.
Adding to 1132213120 its reverse (213122311), we get a palindrome (1345335431).
It can be divided in two parts, 11322 and 13120, that added together give a palindrome (24442).
The spelling of 1132213120 in words is "one billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".
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