Base | Representation |
---|---|
bin | 111011101100101… |
… | …0101101101010101 |
3 | 12011121020121110020 |
4 | 1313121111231111 |
5 | 13100300144341 |
6 | 530434015353 |
7 | 100432222500 |
oct | 16731255525 |
9 | 5147217406 |
10 | 2003131221 |
11 | 938796153 |
12 | 47aa17559 |
13 | 25c002660 |
14 | 150072137 |
15 | bacd0566 |
hex | 77655b55 |
2003131221 has 96 divisors (see below), whose sum is σ = 3606704640. Its totient is φ = 976945536.
The previous prime is 2003131217. The next prime is 2003131231. The reversal of 2003131221 is 1221313002.
It is not a de Polignac number, because 2003131221 - 22 = 2003131217 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 2003131221.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2003131201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1560646 + ... + 1561928.
It is an arithmetic number, because the mean of its divisors is an integer number (37569840).
Almost surely, 22003131221 is an apocalyptic number.
2003131221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.
It is an amenable number.
2003131221 is a deficient number, since it is larger than the sum of its proper divisors (1603573419).
2003131221 is a wasteful number, since it uses less digits than its factorization.
2003131221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1375 (or 1368 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 2003131221 is about 44756.3539734863. The cubic root of 2003131221 is about 1260.5782222637.
Adding to 2003131221 its reverse (1221313002), we get a palindrome (3224444223).
The spelling of 2003131221 in words is "two billion, three million, one hundred thirty-one thousand, two hundred twenty-one".
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