Base | Representation |
---|---|
bin | 111011101100101… |
… | …0101011100100000 |
3 | 12011121020112222100 |
4 | 1313121111130200 |
5 | 13100300131034 |
6 | 530434010400 |
7 | 100432216401 |
oct | 16731253440 |
9 | 5147215870 |
10 | 2003130144 |
11 | 938795364 |
12 | 47aa16a00 |
13 | 25c002012 |
14 | 1500719a8 |
15 | bacd0099 |
hex | 77655720 |
2003130144 has 36 divisors (see below), whose sum is σ = 5696402166. Its totient is φ = 667709952.
The previous prime is 2003130127. The next prime is 2003130149. The reversal of 2003130144 is 4410313002.
It can be written as a sum of positive squares in only one way, i.e., 1128153744 + 874976400 = 33588^2 + 29580^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2003130149) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3477369 + ... + 3477944.
Almost surely, 22003130144 is an apocalyptic number.
2003130144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
2003130144 is an abundant number, since it is smaller than the sum of its proper divisors (3693272022).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2003130144 is a wasteful number, since it uses less digits than its factorization.
2003130144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6955329 (or 6955318 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2003130144 is about 44756.3419416735. The cubic root of 2003130144 is about 1260.5779963436.
Adding to 2003130144 its reverse (4410313002), we get a palindrome (6413443146).
The spelling of 2003130144 in words is "two billion, three million, one hundred thirty thousand, one hundred forty-four".
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