Base | Representation |
---|---|
bin | 111100011001100… |
… | …011100010100011 |
3 | 2121121202121100200 |
4 | 330121203202203 |
5 | 4033403112011 |
6 | 244315120243 |
7 | 34053116040 |
oct | 7431434243 |
9 | 2547677320 |
10 | 1013332131 |
11 | 47aaaa479 |
12 | 243443083 |
13 | 131c27616 |
14 | 9881c1c7 |
15 | 5de66856 |
hex | 3c6638a3 |
1013332131 has 48 divisors (see below), whose sum is σ = 1712256000. Its totient is φ = 565553664.
The previous prime is 1013332129. The next prime is 1013332153. The reversal of 1013332131 is 1312333101.
It is a happy number.
1013332131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 1013332131 - 21 = 1013332129 is a prime.
It is a super-2 number, since 2×10133321312 = 2053684015434002322, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1013332121) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481720 + ... + 483818.
It is an arithmetic number, because the mean of its divisors is an integer number (35672000).
Almost surely, 21013332131 is an apocalyptic number.
1013332131 is a deficient number, since it is larger than the sum of its proper divisors (698923869).
1013332131 is a wasteful number, since it uses less digits than its factorization.
1013332131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2288 (or 2285 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
The square root of 1013332131 is about 31832.8781450877. The cubic root of 1013332131 is about 1004.4244391346.
Adding to 1013332131 its reverse (1312333101), we get a palindrome (2325665232).
The spelling of 1013332131 in words is "one billion, thirteen million, three hundred thirty-two thousand, one hundred thirty-one".
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