Base | Representation |
---|---|
bin | 10010101000010101… |
… | …01001001101111000 |
3 | 221211001112210200212 |
4 | 21110022221031320 |
5 | 130441003323000 |
6 | 4332253450252 |
7 | 502600455632 |
oct | 112412511570 |
9 | 27731483625 |
10 | 10002011000 |
11 | 42729689a3 |
12 | 1b317a0988 |
13 | c35242907 |
14 | 6ac527a52 |
15 | 3d8158c35 |
hex | 2542a9378 |
10002011000 has 64 divisors (see below), whose sum is σ = 23423100480. Its totient is φ = 3997660800.
The previous prime is 10002010981. The next prime is 10002011003. The reversal of 10002011000 is 11020001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (5).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10002011003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1593869 + ... + 1600131.
It is an arithmetic number, because the mean of its divisors is an integer number (365985945).
Almost surely, 210002011000 is an apocalyptic number.
10002011000 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 10002011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711550240).
10002011000 is an abundant number, since it is smaller than the sum of its proper divisors (13421089480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10002011000 is a wasteful number, since it uses less digits than its factorization.
10002011000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7881 (or 7867 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 5.
Adding to 10002011000 its reverse (11020001), we get a palindrome (10013031001).
Subtracting from 10002011000 its reverse (11020001), we obtain a palindrome (9990990999).
The spelling of 10002011000 in words is "ten billion, two million, eleven thousand".
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