Base | Representation |
---|---|
bin | 1100111111001001111… |
… | …0001001001000100110 |
3 | 210022220000022101120000 |
4 | 3033302132021020212 |
5 | 12123412444220402 |
6 | 250255041522130 |
7 | 22055622633666 |
oct | 3176236111046 |
9 | 708800271500 |
10 | 223111320102 |
11 | 86691584050 |
12 | 372a7643346 |
13 | 18068486508 |
14 | ab276aa1a6 |
15 | 5c0c422c1c |
hex | 33f2789226 |
223111320102 has 160 divisors (see below), whose sum is σ = 581011643520. Its totient is φ = 63278599680.
The previous prime is 223111320079. The next prime is 223111320137. The reversal of 223111320102 is 201023111322.
223111320102 is a `hidden beast` number, since 2 + 231 + 11 + 320 + 102 = 666.
223111320102 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-3 number, since 3×2231113201023 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2770518 + ... + 2849910.
It is an arithmetic number, because the mean of its divisors is an integer number (3631322772).
Almost surely, 2223111320102 is an apocalyptic number.
223111320102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 223111320102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290505821760).
223111320102 is an abundant number, since it is smaller than the sum of its proper divisors (357900323418).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223111320102 is a wasteful number, since it uses less digits than its factorization.
223111320102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79520 (or 79511 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 223111320102 its reverse (201023111322), we get a palindrome (424134431424).
The spelling of 223111320102 in words is "two hundred twenty-three billion, one hundred eleven million, three hundred twenty thousand, one hundred two".
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