Base | Representation |
---|---|
bin | 10010101001011011… |
… | …10110011100110000 |
3 | 221211200220200211120 |
4 | 21110231312130300 |
5 | 131000334141430 |
6 | 4333223342240 |
7 | 503042065221 |
oct | 112455663460 |
9 | 27750820746 |
10 | 10011240240 |
11 | 42780a1a71 |
12 | 1b348b1980 |
13 | c371246c1 |
14 | 6ad84b248 |
15 | 3d8d7d610 |
hex | 254b76730 |
10011240240 has 160 divisors (see below), whose sum is σ = 31528934400. Its totient is φ = 2627389440.
The previous prime is 10011240227. The next prime is 10011240247. The reversal of 10011240240 is 4204211001.
10011240240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×100112402402 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (10011240247) 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 31 ways as a sum of consecutive naturals, for example, 7753995 + ... + 7755285.
It is an arithmetic number, because the mean of its divisors is an integer number (197055840).
Almost surely, 210011240240 is an apocalyptic number.
10011240240 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 10011240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764467200).
10011240240 is an abundant number, since it is smaller than the sum of its proper divisors (21517694160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10011240240 is a wasteful number, since it uses less digits than its factorization.
10011240240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1795 (or 1789 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
Adding to 10011240240 its reverse (4204211001), we get a palindrome (14215451241).
The spelling of 10011240240 in words is "ten billion, eleven million, two hundred forty thousand, two hundred forty".
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