Base | Representation |
---|---|
bin | 111001011000010011… |
… | …0101101010000001100 |
3 | 102210001112222020120110 |
4 | 1302300212231100030 |
5 | 4004324314134012 |
6 | 132335111320020 |
7 | 11621361620010 |
oct | 1626046552014 |
9 | 383045866513 |
10 | 123222021132 |
11 | 48292689301 |
12 | 1ba6a980010 |
13 | b809896252 |
14 | 5d6d224540 |
15 | 3312ca373c |
hex | 1cb09ad40c |
123222021132 has 96 divisors (see below), whose sum is σ = 332739187200. Its totient is φ = 34764291072.
The previous prime is 123222021103. The next prime is 123222021151. The reversal of 123222021132 is 231120222321.
123222021132 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-2 number, since 2×1232220211322 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 123222021099 and 123222021108.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2529219 + ... + 2577477.
It is an arithmetic number, because the mean of its divisors is an integer number (3466033200).
Almost surely, 2123222021132 is an apocalyptic number.
123222021132 is a gapful number since it is divisible by the number (12) 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 123222021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166369593600).
123222021132 is an abundant number, since it is smaller than the sum of its proper divisors (209517166068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123222021132 is a wasteful number, since it uses less digits than its factorization.
123222021132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 48655 (or 48653 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
Adding to 123222021132 its reverse (231120222321), we get a palindrome (354342243453).
The spelling of 123222021132 in words is "one hundred twenty-three billion, two hundred twenty-two million, twenty-one thousand, one hundred thirty-two".
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