Base | Representation |
---|---|
bin | 111011110010100… |
… | …010000000001101 |
3 | 2120220111212120010 |
4 | 323302202000031 |
5 | 4023243232341 |
6 | 243311543433 |
7 | 33600141162 |
oct | 7362420015 |
9 | 2526455503 |
10 | 1003102221 |
11 | 475252600 |
12 | 23bb2ab79 |
13 | 12ca85214 |
14 | 97318069 |
15 | 5d0e5716 |
hex | 3bca200d |
1003102221 has 48 divisors (see below), whose sum is σ = 1586475072. Its totient is φ = 561200640.
The previous prime is 1003102213. The next prime is 1003102277. The reversal of 1003102221 is 1222013001.
It is not a de Polignac number, because 1003102221 - 23 = 1003102213 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 1003102197 and 1003102206.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1003102021) 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 47 ways as a sum of consecutive naturals, for example, 325530 + ... + 328596.
It is an arithmetic number, because the mean of its divisors is an integer number (33051564).
Almost surely, 21003102221 is an apocalyptic number.
1003102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
1003102221 is a deficient number, since it is larger than the sum of its proper divisors (583372851).
1003102221 is a wasteful number, since it uses less digits than its factorization.
1003102221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3162 (or 3151 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 1003102221 is about 31671.7890400906. The cubic root of 1003102221 is about 1001.0330061974.
Adding to 1003102221 its reverse (1222013001), we get a palindrome (2225115222).
The spelling of 1003102221 in words is "one billion, three million, one hundred two thousand, two hundred twenty-one".
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