Base | Representation |
---|---|
bin | 10010110101011100… |
… | …10011010111110000 |
3 | 222002201112221102100 |
4 | 21122232103113300 |
5 | 131202134201000 |
6 | 4351223420400 |
7 | 505404524463 |
oct | 113256232760 |
9 | 28081487370 |
10 | 10112022000 |
11 | 4319a77883 |
12 | 1b625b4700 |
13 | c51c7cc92 |
14 | 6bcda32da |
15 | 3e2b39a00 |
hex | 25ab935f0 |
10112022000 has 240 divisors, whose sum is σ = 35443972512. Its totient is φ = 2686924800.
The previous prime is 10112021987. The next prime is 10112022007. The reversal of 10112022000 is 22021101.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10112022007) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6065167 + ... + 6066833.
Almost surely, 210112022000 is an apocalyptic number.
10112022000 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 10112022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721986256).
10112022000 is an abundant number, since it is smaller than the sum of its proper divisors (25331950512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10112022000 is a wasteful number, since it uses less digits than its factorization.
10112022000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2033 (or 2014 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 10112022000 its reverse (22021101), we get a palindrome (10134043101).
The spelling of 10112022000 in words is "ten billion, one hundred twelve million, twenty-two thousand".
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