| Base | Representation |
|---|---|
| bin | 10010101001101001… |
| … | …11111011011000000 |
| 3 | 221211211102210102000 |
| 4 | 21110310333123000 |
| 5 | 131001324041000 |
| 6 | 4333331424000 |
| 7 | 503064022233 |
| oct | 112464773300 |
| 9 | 27754383360 |
| 10 | 10013112000 |
| 11 | 4279160281 |
| 12 | 1b35455000 |
| 13 | c3762b658 |
| 14 | 6adbb741a |
| 15 | 3d90ed000 |
| hex | 254d3f6c0 |
10013112000 has 448 divisors, whose sum is σ = 37100743680. Its totient is φ = 2643840000.
The previous prime is 10013111993. The next prime is 10013112007. The reversal of 10013112000 is 21131001.
10013112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10013111993) and next prime (10013112007).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (10013112007) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 32615847 + ... + 32616153.
It is an arithmetic number, because the mean of its divisors is an integer number (82814160).
Almost surely, 210013112000 is an apocalyptic number.
10013112000 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 10013112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550371840).
10013112000 is an abundant number, since it is smaller than the sum of its proper divisors (27087631680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10013112000 is a wasteful number, since it uses less digits than its factorization.
10013112000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 494 (or 468 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 10013112000 its reverse (21131001), we get a palindrome (10034243001).
The spelling of 10013112000 in words is "ten billion, thirteen million, one hundred twelve thousand".
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