| Base | Representation |
|---|---|
| bin | 10011011001000101… |
| … | …10110011111010000 |
| 3 | 222212120011002211222 |
| 4 | 21230202312133100 |
| 5 | 132310204310000 |
| 6 | 4441024024212 |
| 7 | 515665060556 |
| oct | 115442663720 |
| 9 | 28776132758 |
| 10 | 10411010000 |
| 11 | 446281a9a6 |
| 12 | 2026762068 |
| 13 | c9bbb5261 |
| 14 | 70a991bd6 |
| 15 | 40dee8a85 |
| hex | 26c8b67d0 |
10411010000 has 100 divisors (see below), whose sum is σ = 25468325652. Its totient is φ = 4121088000.
The previous prime is 10411009969. The next prime is 10411010011. The reversal of 10411010000 is 1011401.
10411010000 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 10 ways, for example, as 9882745744 + 528264256 = 99412^2 + 22984^2 .
It is a tau number, because it is divible by the number of its divisors (100).
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 10411010000.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 964634 + ... + 975366.
Almost surely, 210411010000 is an apocalyptic number.
10411010000 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 10411010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734162826).
10411010000 is an abundant number, since it is smaller than the sum of its proper divisors (15057315652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10411010000 is an equidigital number, since it uses as much as digits as its factorization.
10411010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10858 (or 10837 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 8.
Adding to 10411010000 its reverse (1011401), we get a palindrome (10412021401).
The spelling of 10411010000 in words is "ten billion, four hundred eleven million, ten thousand".
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