Base | Representation |
---|---|
bin | 1011111100011110100100 |
3 | 12220002100002 |
4 | 23330132210 |
5 | 1300200200 |
6 | 151040432 |
7 | 35421104 |
oct | 13743644 |
9 | 5802302 |
10 | 3131300 |
11 | 1849657 |
12 | 1070118 |
13 | 858353 |
14 | 5b7204 |
15 | 41cbd5 |
hex | 2fc7a4 |
3131300 has 36 divisors (see below), whose sum is σ = 6871956. Its totient is φ = 1238400.
The previous prime is 3131299. The next prime is 3131309. The reversal of 3131300 is 31313.
It can be written as a sum of positive squares in 6 ways, for example, as 179776 + 2951524 = 424^2 + 1718^2 .
It is an Ulam number.
It is not an unprimeable number, because it can be changed into a prime (3131309) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17210 + ... + 17390.
Almost surely, 23131300 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 3131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435978).
3131300 is an abundant number, since it is smaller than the sum of its proper divisors (3740656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3131300 is a wasteful number, since it uses less digits than its factorization.
3131300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 368 (or 361 counting only the distinct ones).
The product of its (nonzero) digits is 27, while the sum is 11.
The square root of 3131300 is about 1769.5479648769. The cubic root of 3131300 is about 146.2990679585.
Adding to 3131300 its reverse (31313), we get a palindrome (3162613).
Multiplying 3131300 by its reverse (31313), we get a square (98050396900 = 3131302).
3131300 divided by its reverse (31313) gives a square (100 = 102).
The spelling of 3131300 in words is "three million, one hundred thirty-one thousand, three hundred".
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