Base | Representation |
---|---|
bin | 111100111110011… |
… | …100010110010001 |
3 | 2122021221212221000 |
4 | 330332130112101 |
5 | 4043342031001 |
6 | 245302252213 |
7 | 34231242060 |
oct | 7476342621 |
9 | 2567855830 |
10 | 1023002001 |
11 | 4855045aa |
12 | 246727069 |
13 | 133c31b38 |
14 | 99c181d7 |
15 | 5ec26a86 |
hex | 3cf9c591 |
1023002001 has 32 divisors (see below), whose sum is σ = 1737701120. Its totient is φ = 582671232.
The previous prime is 1023001997. The next prime is 1023002017. The reversal of 1023002001 is 1002003201.
It is a happy number.
It is not a de Polignac number, because 1023002001 - 22 = 1023001997 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a Duffinian number.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (1023002021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50511 + ... + 67803.
It is an arithmetic number, because the mean of its divisors is an integer number (54303160).
Almost surely, 21023002001 is an apocalyptic number.
It is an amenable number.
1023002001 is a deficient number, since it is larger than the sum of its proper divisors (714699119).
1023002001 is a wasteful number, since it uses less digits than its factorization.
1023002001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17622 (or 17616 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1023002001 is about 31984.4024643263. The cubic root of 1023002001 is about 1007.6092855773.
Adding to 1023002001 its reverse (1002003201), we get a palindrome (2025005202).
The spelling of 1023002001 in words is "one billion, twenty-three million, two thousand, one".
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