Base | Representation |
---|---|
bin | 1100111111001110110… |
… | …1001001100001111100 |
3 | 210022221110021121201000 |
4 | 3033303231021201330 |
5 | 12123433244443400 |
6 | 250301101450300 |
7 | 22056263653626 |
oct | 3176355114174 |
9 | 708843247630 |
10 | 223132031100 |
11 | 866a223a580 |
12 | 372b2570990 |
13 | 1806c858444 |
14 | ab2a33bc16 |
15 | 5c0e164600 |
hex | 33f3b4987c |
223132031100 has 144 divisors (see below), whose sum is σ = 782539914240. Its totient is φ = 54092606400.
The previous prime is 223132031099. The next prime is 223132031107. The reversal of 223132031100 is 1130231322.
223132031100 is a `hidden beast` number, since 2 + 2 + 31 + 320 + 311 + 0 + 0 = 666.
223132031100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2231320311003 (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 not an unprimeable number, because it can be changed into a prime (223132031107) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3726732 + ... + 3786131.
It is an arithmetic number, because the mean of its divisors is an integer number (5434304960).
Almost surely, 2223132031100 is an apocalyptic number.
223132031100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
223132031100 is an abundant number, since it is smaller than the sum of its proper divisors (559407883140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223132031100 is a wasteful number, since it uses less digits than its factorization.
223132031100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7512897 (or 7512884 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 223132031100 its reverse (1130231322), we get a palindrome (224262262422).
The spelling of 223132031100 in words is "two hundred twenty-three billion, one hundred thirty-two million, thirty-one thousand, one hundred".
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