Base | Representation |
---|---|
bin | 11101000101000011… |
… | …011110101011111101 |
3 | 2222121000011112201200 |
4 | 131011003132223331 |
5 | 1002421131423401 |
6 | 22202131530113 |
7 | 2153512523343 |
oct | 350503365375 |
9 | 88530145650 |
10 | 31223311101 |
11 | 12272821844 |
12 | 6074759939 |
13 | 2c3795bb18 |
14 | 1722ac5993 |
15 | c2b21b686 |
hex | 7450deafd |
31223311101 has 24 divisors (see below), whose sum is σ = 46614371544. Its totient is φ = 20123925120.
The previous prime is 31223311087. The next prime is 31223311109. The reversal of 31223311101 is 10111332213.
31223311101 is a `hidden beast` number, since 31 + 223 + 311 + 101 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 5575608900 + 25647702201 = 74670^2 + 160149^2 .
It is not a de Polignac number, because 31223311101 - 210 = 31223310077 is a prime.
It is a super-3 number, since 3×312233111013 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31223311109) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246330 + ... + 350891.
It is an arithmetic number, because the mean of its divisors is an integer number (1942265481).
Almost surely, 231223311101 is an apocalyptic number.
It is an amenable number.
31223311101 is a deficient number, since it is larger than the sum of its proper divisors (15391060443).
31223311101 is a wasteful number, since it uses less digits than its factorization.
31223311101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 597421 (or 597418 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 31223311101 its reverse (10111332213), we get a palindrome (41334643314).
The spelling of 31223311101 in words is "thirty-one billion, two hundred twenty-three million, three hundred eleven thousand, one hundred one".
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