Base | Representation |
---|---|
bin | 1011100101110010… |
… | …1101111011001100 |
3 | 22000211111002012112 |
4 | 2321130231323030 |
5 | 22332444004400 |
6 | 1232422123152 |
7 | 140046503450 |
oct | 27134557314 |
9 | 8024432175 |
10 | 3111313100 |
11 | 1357289645 |
12 | 729b804b8 |
13 | 3a778948c |
14 | 217300660 |
15 | 133230835 |
hex | b972decc |
3111313100 has 72 divisors (see below), whose sum is σ = 7809166848. Its totient is φ = 1053864000.
The previous prime is 3111313087. The next prime is 3111313129. The reversal of 3111313100 is 13131113.
It is a happy number.
It is a super-2 number, since 2×31113131002 = 19360538412463220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is an unprimeable number.
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, 31325 + ... + 84875.
Almost surely, 23111313100 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3111313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904583424).
3111313100 is an abundant number, since it is smaller than the sum of its proper divisors (4697853748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3111313100 is a wasteful number, since it uses less digits than its factorization.
3111313100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53655 (or 53648 counting only the distinct ones).
The product of its (nonzero) digits is 27, while the sum is 14.
The square root of 3111313100 is about 55779.1457446239. The cubic root of 3111313100 is about 1459.8713059767.
Adding to 3111313100 its reverse (13131113), we get a palindrome (3124444213).
The spelling of 3111313100 in words is "three billion, one hundred eleven million, three hundred thirteen thousand, one hundred".
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