Base | Representation |
---|---|
bin | 111011111011011… |
… | …101010001001011 |
3 | 2121001220202022011 |
4 | 323323131101023 |
5 | 4024343121443 |
6 | 243434040351 |
7 | 33626055100 |
oct | 7373352113 |
9 | 2531822264 |
10 | 1005442123 |
11 | 476600604 |
12 | 2408790b7 |
13 | 1303c428a |
14 | 97766aa7 |
15 | 5d408b9d |
hex | 3bedd44b |
1005442123 has 12 divisors (see below), whose sum is σ = 1171160760. Its totient is φ = 860654592.
The previous prime is 1005442121. The next prime is 1005442157. The reversal of 1005442123 is 3212445001.
It is not a de Polignac number, because 1005442123 - 21 = 1005442121 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 1005442094 and 1005442103.
It is not an unprimeable number, because it can be changed into a prime (1005442121) 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 11 ways as a sum of consecutive naturals, for example, 24340 + ... + 51022.
It is an arithmetic number, because the mean of its divisors is an integer number (97596730).
Almost surely, 21005442123 is an apocalyptic number.
1005442123 is a deficient number, since it is larger than the sum of its proper divisors (165718637).
1005442123 is an equidigital number, since it uses as much as digits as its factorization.
1005442123 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27466 (or 27459 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 22.
The square root of 1005442123 is about 31708.7073687970. The cubic root of 1005442123 is about 1001.8107601685.
Adding to 1005442123 its reverse (3212445001), we get a palindrome (4217887124).
The spelling of 1005442123 in words is "one billion, five million, four hundred forty-two thousand, one hundred twenty-three".
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