Search a number
-
+
10020033024 = 29347138797
BaseRepresentation
bin10010101010011110…
…11001001000000000
3221212022110102021020
421111033121020000
5131010112024044
64334140025440
7503206606161
oct112517311000
927768412236
1010020033024
114282058131
121b37832280
13c38bb2931
146b0a99768
153d9a18a19
hex2553d9200

10020033024 has 80 divisors (see below), whose sum is σ = 27262147968. Its totient is φ = 3268923392.

The previous prime is 10020033017. The next prime is 10020033041. The reversal of 10020033024 is 42033002001.

It is a junction number, because it is equal to n+sod(n) for n = 10020032994 and 10020033012.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2794 + ... + 141590.

Almost surely, 210020033024 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 10020033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631073984).

10020033024 is an abundant number, since it is smaller than the sum of its proper divisors (17242114944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10020033024 is an equidigital number, since it uses as much as digits as its factorization.

10020033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138865 (or 138849 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10020033024 its reverse (42033002001), we get a palindrome (52053035025).

The spelling of 10020033024 in words is "ten billion, twenty million, thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1128 1504 1536 2256 3008 4512 6016 9024 12032 18048 24064 36096 72192 138797 277594 416391 555188 832782 1110376 1665564 2220752 3331128 4441504 6523459 6662256 8883008 13046918 13324512 17766016 19570377 26093836 26649024 35532032 39140754 52187672 53298048 71064064 78281508 104375344 106596096 156563016 208750688 213192192 313126032 417501376 626252064 835002752 1252504128 1670005504 2505008256 3340011008 5010016512 10020033024