Base | Representation |
---|---|
bin | 10000110101100… |
… | …00010001110100 |
3 | 100211202021210221 |
4 | 20122300101310 |
5 | 242123344340 |
6 | 22003024124 |
7 | 3333305554 |
oct | 1032602164 |
9 | 324667727 |
10 | 141231220 |
11 | 727a3119 |
12 | 3b36b044 |
13 | 2334b890 |
14 | 14a85164 |
15 | c5eb44a |
hex | 86b0474 |
141231220 has 96 divisors (see below), whose sum is σ = 335428128. Its totient is φ = 49600512.
The previous prime is 141231197. The next prime is 141231253. The reversal of 141231220 is 22132141.
It can be written as a sum of positive squares in 16 ways, for example, as 31945104 + 109286116 = 5652^2 + 10454^2 .
It is a junction number, because it is equal to n+sod(n) for n = 141231194 and 141231203.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509722 + ... + 509998.
It is an arithmetic number, because the mean of its divisors is an integer number (3494043).
Almost surely, 2141231220 is an apocalyptic number.
141231220 is a gapful number since it is divisible by the number (10) 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 141231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167714064).
141231220 is an abundant number, since it is smaller than the sum of its proper divisors (194196908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141231220 is a wasteful number, since it uses less digits than its factorization.
141231220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 389 (or 387 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 141231220 is about 11884.0742172035. The cubic root of 141231220 is about 520.7671369452.
Adding to 141231220 its reverse (22132141), we get a palindrome (163363361).
It can be divided in two parts, 141 and 231220, that added together give a square (231361 = 4812).
The spelling of 141231220 in words is "one hundred forty-one million, two hundred thirty-one thousand, two hundred twenty".
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