Base | Representation |
---|---|
bin | 1100111111001111000… |
… | …1001110110100000000 |
3 | 210022221112021222202111 |
4 | 3033303301032310000 |
5 | 12123434033220222 |
6 | 250301140425104 |
7 | 22056306032032 |
oct | 3176361166400 |
9 | 708845258674 |
10 | 223133101312 |
11 | 866a2900650 |
12 | 372b29a8194 |
13 | 1806cb415c4 |
14 | ab2a539c52 |
15 | 5c0e2c6777 |
hex | 33f3c4ed00 |
223133101312 has 36 divisors (see below), whose sum is σ = 485885012256. Its totient is φ = 101424135680.
The previous prime is 223133101291. The next prime is 223133101319. The reversal of 223133101312 is 213101331322.
223133101312 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 3×2231331013123 (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 (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223133101319) by changing a digit.
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 3 ways as a sum of consecutive naturals, for example, 39615988 + ... + 39621619.
It is an arithmetic number, because the mean of its divisors is an integer number (13496805896).
Almost surely, 2223133101312 is an apocalyptic number.
223133101312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
223133101312 is an abundant number, since it is smaller than the sum of its proper divisors (262751910944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223133101312 is an equidigital number, since it uses as much as digits as its factorization.
223133101312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79237634 (or 79237620 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 22.
Adding to 223133101312 its reverse (213101331322), we get a palindrome (436234432634).
The spelling of 223133101312 in words is "two hundred twenty-three billion, one hundred thirty-three million, one hundred one thousand, three hundred twelve".
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