Base | Representation |
---|---|
bin | 111011110010001… |
… | …100010011000000 |
3 | 2120220100100121012 |
4 | 323302030103000 |
5 | 4023232411222 |
6 | 243310020052 |
7 | 33566321030 |
oct | 7362142300 |
9 | 2526310535 |
10 | 1003013312 |
11 | 4751a1824 |
12 | 23baa7628 |
13 | 12ca53902 |
14 | 972d38c0 |
15 | 5d0c91e2 |
hex | 3bc8c4c0 |
1003013312 has 56 divisors (see below), whose sum is σ = 2294936736. Its totient is φ = 426037248.
The previous prime is 1003013273. The next prime is 1003013329. The reversal of 1003013312 is 2133103001.
It is a tau number, because it is divible by the number of its divisors (56).
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 (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40718 + ... + 60530.
Almost surely, 21003013312 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 1003013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147468368).
1003013312 is an abundant number, since it is smaller than the sum of its proper divisors (1291923424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003013312 is a wasteful number, since it uses less digits than its factorization.
1003013312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19945 (or 19935 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 14.
The square root of 1003013312 is about 31670.3854097168. The cubic root of 1003013312 is about 1001.0034301245.
Adding to 1003013312 its reverse (2133103001), we get a palindrome (3136116313).
The spelling of 1003013312 in words is "one billion, three million, thirteen thousand, three hundred twelve".
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