Base | Representation |
---|---|
bin | 111011110010100… |
… | …001110010000000 |
3 | 2120220111211022110 |
4 | 323302201302000 |
5 | 4023243220222 |
6 | 243311535320 |
7 | 33600135423 |
oct | 7362416200 |
9 | 2526454273 |
10 | 1003101312 |
11 | 475251954 |
12 | 23bb2a540 |
13 | 12ca84995 |
14 | 973179ba |
15 | 5d0e530c |
hex | 3bca1c80 |
1003101312 has 32 divisors (see below), whose sum is σ = 2664488880. Its totient is φ = 334366976.
The previous prime is 1003101311. The next prime is 1003101313. The reversal of 1003101312 is 2131013001.
It is an interprime number because it is at equal distance from previous prime (1003101311) and next prime (1003101313).
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-2 number, since 2×10031013122 = 2012424484272242688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (1003101311) 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 3 ways as a sum of consecutive naturals, for example, 1305738 + ... + 1306505.
Almost surely, 21003101312 is an apocalyptic number.
1003101312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1003101312 is an abundant number, since it is smaller than the sum of its proper divisors (1661387568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003101312 is an equidigital number, since it uses as much as digits as its factorization.
1003101312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2612260 (or 2612248 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 12.
The square root of 1003101312 is about 31671.7746897770. The cubic root of 1003101312 is about 1001.0327038224.
Adding to 1003101312 its reverse (2131013001), we get a palindrome (3134114313).
The spelling of 1003101312 in words is "one billion, three million, one hundred one thousand, three hundred twelve".
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