Base | Representation |
---|---|
bin | 10100101111000100… |
… | …11110011111110100 |
3 | 1001201211110001122100 |
4 | 22113202132133310 |
5 | 140244334111040 |
6 | 5040352302100 |
7 | 542604155325 |
oct | 122742363764 |
9 | 31654401570 |
10 | 11132332020 |
11 | 47a2a028a7 |
12 | 21a8241930 |
13 | 108547b714 |
14 | 7786ba44c |
15 | 4524cdb30 |
hex | 29789e7f4 |
11132332020 has 216 divisors, whose sum is σ = 36107790264. Its totient is φ = 2775601152.
The previous prime is 11132331997. The next prime is 11132332073. The reversal of 11132332020 is 2023323111.
11132332020 is a `hidden beast` number, since 1 + 1 + 1 + 323 + 320 + 20 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 464747364 + 10667584656 = 21558^2 + 103284^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 11132331984 and 11132332002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8998842 + ... + 9000078.
Almost surely, 211132332020 is an apocalyptic number.
11132332020 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 11132332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053895132).
11132332020 is an abundant number, since it is smaller than the sum of its proper divisors (24975458244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11132332020 is a wasteful number, since it uses less digits than its factorization.
11132332020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1459 (or 1437 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 11132332020 its reverse (2023323111), we get a palindrome (13155655131).
The spelling of 11132332020 in words is "eleven billion, one hundred thirty-two million, three hundred thirty-two thousand, twenty".
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