| Base | Representation |
|---|---|
| bin | 111011101110010… |
| … | …101001001101000 |
| 3 | 2120211102220222011 |
| 4 | 323232111021220 |
| 5 | 4023003013000 |
| 6 | 243232205304 |
| 7 | 33554603500 |
| oct | 7356251150 |
| 9 | 2524386864 |
| 10 | 1002001000 |
| 11 | 474670200 |
| 12 | 23b699834 |
| 13 | 12c78ac00 |
| 14 | 9710ca00 |
| 15 | 5ce792ba |
| hex | 3bb95268 |
1002001000 has 432 divisors, whose sum is σ = 3246335820. Its totient is φ = 288288000.
The previous prime is 1002000997. The next prime is 1002001057. The reversal of 1002001000 is 1002001.
Added to its reverse (1002001) it gives a cube (1003003001 = 10013).
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 43850884 + 958150116 = 6622^2 + 30954^2 .
It is a Harshad number since it is a multiple of its sum of digits (4).
It is an unprimeable number.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 77076994 + ... + 77077006.
Almost surely, 21002001000 is an apocalyptic number.
1002001000 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 1002001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623167910).
1002001000 is an abundant number, since it is smaller than the sum of its proper divisors (2244334820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002001000 is a wasteful number, since it uses less digits than its factorization.
1002001000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 83 (or 38 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 4.
The square root of 1002001000 is about 31654.3993782855. The cubic root of 1002001000 is about 1000.6665556049. Note that the first 3 decimals are identical.
Adding to 1002001000 its reverse (1002001), we get a palindrome (1003003001).
1002001000 divided by its reverse (1002001) gives a cube (1000 = 103).
The spelling of 1002001000 in words is "one billion, two million, one thousand".
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