Base | Representation |
---|---|
bin | 111111100000111… |
… | …1110001000111101 |
3 | 12111112021100110221 |
4 | 1333001332020331 |
5 | 13331043114401 |
6 | 551251301341 |
7 | 103546045300 |
oct | 17701761075 |
9 | 5445240427 |
10 | 2131223101 |
11 | 9a4024507 |
12 | 4b58aa851 |
13 | 27c700777 |
14 | 163096b37 |
15 | c71837a1 |
hex | 7f07e23d |
2131223101 has 24 divisors (see below), whose sum is σ = 2532065400. Its totient is φ = 1788175872.
The previous prime is 2131223057. The next prime is 2131223183. The reversal of 2131223101 is 1013221312.
It can be written as a sum of positive squares in 4 ways, for example, as 49491225 + 2081731876 = 7035^2 + 45626^2 .
It is not a de Polignac number, because 2131223101 - 213 = 2131214909 is a prime.
It is a super-2 number, since 2×21312231012 = 9084223812472112402, which contains 22 as substring.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2131223191) 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 23 ways as a sum of consecutive naturals, for example, 487875 + ... + 492223.
It is an arithmetic number, because the mean of its divisors is an integer number (105502725).
Almost surely, 22131223101 is an apocalyptic number.
It is an amenable number.
2131223101 is a deficient number, since it is larger than the sum of its proper divisors (400842299).
2131223101 is a wasteful number, since it uses less digits than its factorization.
2131223101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4573 (or 4566 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
The square root of 2131223101 is about 46165.1719481256. The cubic root of 2131223101 is about 1286.8945796684.
Adding to 2131223101 its reverse (1013221312), we get a palindrome (3144444413).
The spelling of 2131223101 in words is "two billion, one hundred thirty-one million, two hundred twenty-three thousand, one hundred one".
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