| Base | Representation |
|---|---|
| bin | 111011101010100… |
| … | …000110001000000 |
| 3 | 2120202120001212002 |
| 4 | 323222200301000 |
| 5 | 4022224000000 |
| 6 | 243154523132 |
| 7 | 33543234230 |
| oct | 7352406100 |
| 9 | 2522501762 |
| 10 | 1001000000 |
| 11 | 474047130 |
| 12 | 23b2964a8 |
| 13 | 12c4ca3c0 |
| 14 | 96d2bcc0 |
| 15 | 5cd2c8d5 |
| hex | 3baa0c40 |
1001000000 has 392 divisors, whose sum is σ = 3333707328. Its totient is φ = 288000000.
The previous prime is 1000999949. The next prime is 1001000027. The reversal of 1001000000 is 1001.
It is a sliding number, since 1001000000 = 1000000 + 1000000000 and 1/1000000 + 1/1000000000 = 0.000001001000000.
It is a Harshad number since it is a multiple of its sum of digits (2).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76999994 + ... + 77000006.
Almost surely, 21001000000 is an apocalyptic number.
1001000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666853664).
1001000000 is an abundant number, since it is smaller than the sum of its proper divisors (2332707328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001000000 is an frugal number, since it uses more digits than its factorization.
1001000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 73 (or 38 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 2.
The square root of 1001000000 is about 31638.5840391127. The cubic root of 1001000000 is about 1000.3332222839. Note that the first 3 decimals are identical.
Adding to 1001000000 its reverse (1001), we get a palindrome (1001001001).
Multiplying 1001000000 by its reverse (1001), we get a square (1002001000000 = 10010002).
1001000000 divided by its reverse (1001) gives a 6-th power (1000000 = 106).
The spelling of 1001000000 in words is "one billion, one million", and thus it is an aban number and an uban number.
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