Base | Representation |
---|---|
bin | 11101001100100000000… |
… | …10101011111000111011 |
3 | 10112220021211102022222110 |
4 | 32212100002223320323 |
5 | 112413414331100011 |
6 | 2044501001223403 |
7 | 132321562223634 |
oct | 16462002537073 |
9 | 3486254368873 |
10 | 1003144003131 |
11 | 357481701a96 |
12 | 1424baa91b63 |
13 | 7379975c51a |
14 | 367a3c1688b |
15 | 1b1627a2ba6 |
hex | e9900abe3b |
1003144003131 has 8 divisors (see below), whose sum is σ = 1338458717520. Its totient is φ = 668295978752.
The previous prime is 1003144003091. The next prime is 1003144003153. The reversal of 1003144003131 is 1313004413001.
1003144003131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 1003144003131 - 27 = 1003144003003 is a prime.
It is a super-3 number, since 3×10031440031313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 1003144003098 and 1003144003107.
It is not an unprimeable number, because it can be changed into a prime (1003144003171) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116667486 + ... + 116676083.
It is an arithmetic number, because the mean of its divisors is an integer number (167307339690).
Almost surely, 21003144003131 is an apocalyptic number.
1003144003131 is a deficient number, since it is larger than the sum of its proper divisors (335314714389).
1003144003131 is a wasteful number, since it uses less digits than its factorization.
1003144003131 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 233345005.
The product of its (nonzero) digits is 432, while the sum is 21.
Adding to 1003144003131 its reverse (1313004413001), we get a palindrome (2316148416132).
The spelling of 1003144003131 in words is "one trillion, three billion, one hundred forty-four million, three thousand, one hundred thirty-one".
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