Base | Representation |
---|---|
bin | 10010101010100111… |
… | …11000101110011000 |
3 | 221212101200021012011 |
4 | 21111103320232120 |
5 | 131010412223112 |
6 | 4334221155304 |
7 | 503222613460 |
oct | 112523705630 |
9 | 27771607164 |
10 | 10021211032 |
11 | 4282792198 |
12 | 1b380bbb34 |
13 | c39205b91 |
14 | 6b0cc4ba0 |
15 | 3d9b9caa7 |
hex | 2554f8b98 |
10021211032 has 128 divisors (see below), whose sum is σ = 22773104640. Its totient is φ = 4043687040.
The previous prime is 10021211003. The next prime is 10021211069. The reversal of 10021211032 is 23011212001.
10021211032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 31 ways as a sum of consecutive naturals, for example, 21458463 + ... + 21458929.
It is an arithmetic number, because the mean of its divisors is an integer number (177914880).
Almost surely, 210021211032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10021211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11386552320).
10021211032 is an abundant number, since it is smaller than the sum of its proper divisors (12751893608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10021211032 is a wasteful number, since it uses less digits than its factorization.
10021211032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 821 (or 817 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 13.
Adding to 10021211032 its reverse (23011212001), we get a palindrome (33032423033).
The spelling of 10021211032 in words is "ten billion, twenty-one million, two hundred eleven thousand, thirty-two".
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