| Base | Representation |
|---|---|
| bin | 111011111101100… |
| … | …1011001011101000 |
| 3 | 12012012221020111120 |
| 4 | 1313323023023220 |
| 5 | 13110033013000 |
| 6 | 531352055240 |
| 7 | 100600504062 |
| oct | 16773131350 |
| 9 | 5165836446 |
| 10 | 2012001000 |
| 11 | 9427a4149 |
| 12 | 481994520 |
| 13 | 260ab9949 |
| 14 | 151300732 |
| 15 | bb9836a0 |
| hex | 77ecb2e8 |
2012001000 has 128 divisors (see below), whose sum is σ = 6646872960. Its totient is φ = 504960000.
The previous prime is 2012000989. The next prime is 2012001007. The reversal of 2012001000 is 1002102.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2012001000.
It is not an unprimeable number, because it can be changed into a prime (2012001007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31275 + ... + 70725.
It is an arithmetic number, because the mean of its divisors is an integer number (51928695).
Almost surely, 22012001000 is an apocalyptic number.
2012001000 is a gapful number since it is divisible by the number (20) 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 2012001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323436480).
2012001000 is an abundant number, since it is smaller than the sum of its proper divisors (4634871960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2012001000 is a wasteful number, since it uses less digits than its factorization.
2012001000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39492 (or 39478 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 2012001000 is about 44855.3341309593. The cubic root of 2012001000 is about 1262.4360781935.
Adding to 2012001000 its reverse (1002102), we get a palindrome (2013003102).
The spelling of 2012001000 in words is "two billion, twelve million, one thousand".
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