| Base | Representation |
|---|---|
| bin | 111011101110100… |
| … | …001000111010000 |
| 3 | 2120211112102011222 |
| 4 | 323232201013100 |
| 5 | 4023011100000 |
| 6 | 243233224212 |
| 7 | 33555166400 |
| oct | 7356410720 |
| 9 | 2524472158 |
| 10 | 1002050000 |
| 11 | 4746a3aa6 |
| 12 | 23b702068 |
| 13 | 12c7a72c3 |
| 14 | 97122800 |
| 15 | 5ce88a85 |
| hex | 3bba11d0 |
1002050000 has 180 divisors, whose sum is σ = 2829779820. Its totient is φ = 342720000.
The previous prime is 1002049931. The next prime is 1002050029. The reversal of 1002050000 is 502001.
1002050000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 611276176 + 390773824 = 24724^2 + 19768^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 1002050000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2449796 + ... + 2450204.
It is an arithmetic number, because the mean of its divisors is an integer number (15720999).
Almost surely, 21002050000 is an apocalyptic number.
1002050000 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 1002050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414889910).
1002050000 is an abundant number, since it is smaller than the sum of its proper divisors (1827729820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002050000 is an frugal number, since it uses more digits than its factorization.
1002050000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 456 (or 423 counting only the distinct ones).
The product of its (nonzero) digits is 10, while the sum is 8.
The square root of 1002050000 is about 31655.1733528660. The cubic root of 1002050000 is about 1000.6828669200.
Adding to 1002050000 its reverse (502001), we get a palindrome (1002552001).
The spelling of 1002050000 in words is "one billion, two million, fifty thousand".
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