Base | Representation |
---|---|
bin | 10100111011000110… |
… | …11000000010001000 |
3 | 1001222212022021000000 |
4 | 22131203120002020 |
5 | 141001201342414 |
6 | 5054355043000 |
7 | 545240613363 |
oct | 123543300210 |
9 | 31885267000 |
10 | 11233230984 |
11 | 4844958778 |
12 | 2215ba0460 |
13 | 10a0348451 |
14 | 787c630da |
15 | 45b2aeb09 |
hex | 29d8d8088 |
11233230984 has 112 divisors (see below), whose sum is σ = 31648186620. Its totient is φ = 3736212480.
The previous prime is 11233230961. The next prime is 11233230989. The reversal of 11233230984 is 48903233211.
11233230984 is a `hidden beast` number, since 1 + 12 + 332 + 309 + 8 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 9904628484 + 1328602500 = 99522^2 + 36450^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11233230989) 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 27 ways as a sum of consecutive naturals, for example, 3036624 + ... + 3040320.
Almost surely, 211233230984 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11233230984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15824093310).
11233230984 is an abundant number, since it is smaller than the sum of its proper divisors (20414955636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11233230984 is an equidigital number, since it uses as much as digits as its factorization.
11233230984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4242 (or 4223 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The spelling of 11233230984 in words is "eleven billion, two hundred thirty-three million, two hundred thirty thousand, nine hundred eighty-four".
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