Base | Representation |
---|---|
bin | 10010101010101001… |
… | …01111101101010000 |
3 | 221212102002201010012 |
4 | 21111110233231100 |
5 | 131010441424430 |
6 | 4334230054052 |
7 | 503224542164 |
oct | 112524575520 |
9 | 27772081105 |
10 | 10021436240 |
11 | 4282926412 |
12 | 1b381aa328 |
13 | c3928453a |
14 | 6b0d42ca4 |
15 | 3d9be4695 |
hex | 25552fb50 |
10021436240 has 40 divisors (see below), whose sum is σ = 23681815368. Its totient is φ = 3942858240.
The previous prime is 10021436197. The next prime is 10021436279. The reversal of 10021436240 is 4263412001.
10021436240 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 4 ways, for example, as 699919936 + 9321516304 = 26456^2 + 96548^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-3 number, since 3×100214362403 (a number of 31 digits) contains 333 as substring.
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 7 ways as a sum of consecutive naturals, for example, 1021907 + ... + 1031666.
Almost surely, 210021436240 is an apocalyptic number.
10021436240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10021436240 is an abundant number, since it is smaller than the sum of its proper divisors (13660379128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10021436240 is a wasteful number, since it uses less digits than its factorization.
10021436240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2053647 (or 2053641 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 23.
Adding to 10021436240 its reverse (4263412001), we get a palindrome (14284848241).
The spelling of 10021436240 in words is "ten billion, twenty-one million, four hundred thirty-six thousand, two hundred forty".
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