Base | Representation |
---|---|
bin | 10011000010011100… |
… | …01001011001001000 |
3 | 222101022200021102222 |
4 | 21201032021121020 |
5 | 131413041024112 |
6 | 4410120113212 |
7 | 511200230060 |
oct | 114116113110 |
9 | 28338607388 |
10 | 10221033032 |
11 | 4375563441 |
12 | 1b93005808 |
13 | c6b72a152 |
14 | 6cd65c3a0 |
15 | 3ec4be372 |
hex | 261389648 |
10221033032 has 64 divisors (see below), whose sum is σ = 22875696000. Its totient is φ = 4189764096.
The previous prime is 10221033007. The next prime is 10221033037. The reversal of 10221033032 is 23033012201.
It is a super-2 number, since 2×102210330322 (a number of 21 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 10221033032.
It is not an unprimeable number, because it can be changed into a prime (10221033037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80444 + ... + 164052.
It is an arithmetic number, because the mean of its divisors is an integer number (357432750).
Almost surely, 210221033032 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 10221033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11437848000).
10221033032 is an abundant number, since it is smaller than the sum of its proper divisors (12654662968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10221033032 is a wasteful number, since it uses less digits than its factorization.
10221033032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83718 (or 83714 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 17.
Adding to 10221033032 its reverse (23033012201), we get a palindrome (33254045233).
The spelling of 10221033032 in words is "ten billion, two hundred twenty-one million, thirty-three thousand, thirty-two".
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