Base | Representation |
---|---|
bin | 111011101010100… |
… | …000110001001010 |
3 | 2120202120001212110 |
4 | 323222200301022 |
5 | 4022224000020 |
6 | 243154523150 |
7 | 33543234243 |
oct | 7352406112 |
9 | 2522501773 |
10 | 1001000010 |
11 | 47404713a |
12 | 23b2964b6 |
13 | 12c4ca3ca |
14 | 96d2bcca |
15 | 5cd2c8e0 |
hex | 3baa0c4a |
1001000010 has 64 divisors (see below), whose sum is σ = 2464057728. Its totient is φ = 260112384.
The previous prime is 1000999949. The next prime is 1001000027. The reversal of 1001000010 is 100001001.
It is a Harshad number since it is a multiple of its sum of digits (3).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 1000999959 and 1001000004.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867594 + ... + 868746.
It is an arithmetic number, because the mean of its divisors is an integer number (38500902).
Almost surely, 21001000010 is an apocalyptic number.
1001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1001000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232028864).
1001000010 is an abundant number, since it is smaller than the sum of its proper divisors (1463057718).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001000010 is a wasteful number, since it uses less digits than its factorization.
1001000010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1879.
The product of its (nonzero) digits is 1, while the sum is 3.
The square root of 1001000010 is about 31638.5841971476. The cubic root of 1001000010 is about 1000.3332256150. Note that the first 3 decimals are identical.
Adding to 1001000010 its reverse (100001001), we get a palindrome (1101001011).
Subtracting from 1001000010 its reverse (100001001), we obtain a palindrome (900999009).
The spelling of 1001000010 in words is "one billion, one million, ten", and thus it is an aban number and an uban number.
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