| Base | Representation |
|---|---|
| bin | 10011111101000011… |
| … | …00110001111100000 |
| 3 | 1000122120210002020000 |
| 4 | 21332201212033200 |
| 5 | 133414420434300 |
| 6 | 4531001420000 |
| 7 | 526320126360 |
| oct | 117641461740 |
| 9 | 30576702200 |
| 10 | 10712671200 |
| 11 | 45a8029480 |
| 12 | 20ab79a600 |
| 13 | 10195451ca |
| 14 | 738a789a0 |
| 15 | 42a734c00 |
| hex | 27e8663e0 |
10712671200 has 1440 divisors, whose sum is σ = 51724189440. Its totient is φ = 2090188800.
The previous prime is 10712671187. The next prime is 10712671201. The reversal of 10712671200 is 217621701.
10712671200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-2 number, since 2×107126712002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10712671201) 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 239 ways as a sum of consecutive naturals, for example, 94802344 + ... + 94802456.
It is an arithmetic number, because the mean of its divisors is an integer number (35919576).
Almost surely, 210712671200 is an apocalyptic number.
10712671200 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 10712671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25862094720).
10712671200 is an abundant number, since it is smaller than the sum of its proper divisors (41011518240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10712671200 is a wasteful number, since it uses less digits than its factorization.
10712671200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 182 (or 160 counting only the distinct ones).
The product of its (nonzero) digits is 1176, while the sum is 27.
The spelling of 10712671200 in words is "ten billion, seven hundred twelve million, six hundred seventy-one thousand, two hundred".
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