Base | Representation |
---|---|
bin | 10010101000011100… |
… | …11011001010010000 |
3 | 221211010102011002120 |
4 | 21110032123022100 |
5 | 130441232031000 |
6 | 4332331014240 |
7 | 502612054065 |
oct | 112416331220 |
9 | 27733364076 |
10 | 10003002000 |
11 | 4273485502 |
12 | 1b31b9a380 |
13 | c354cb9c4 |
14 | 6ac704c6c |
15 | 3d82a26a0 |
hex | 25439b290 |
10003002000 has 160 divisors (see below), whose sum is σ = 32553166464. Its totient is φ = 2642368000.
The previous prime is 10003001993. The next prime is 10003002001. The reversal of 10003002000 is 20030001.
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 10003002000.
It is not an unprimeable number, because it can be changed into a prime (10003002001) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634210 + ... + 649790.
Almost surely, 210003002000 is an apocalyptic number.
10003002000 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 10003002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16276583232).
10003002000 is an abundant number, since it is smaller than the sum of its proper divisors (22550164464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10003002000 is a wasteful number, since it uses less digits than its factorization.
10003002000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15714 (or 15698 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 6.
Adding to 10003002000 its reverse (20030001), we get a palindrome (10023032001).
The spelling of 10003002000 in words is "ten billion, three million, two thousand".
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