Search a number
-
+
10020321332 = 2273116370823
BaseRepresentation
bin10010101010100000…
…11111100000110100
3221212100000001202022
421111100133200310
5131010200240312
64334150132312
7503212216550
oct112520374064
927770001668
1010020321332
1142822347aa
121b37951098
13c38c83c28
146b0b32860
153d9a74172
hex25541f834

10020321332 has 48 divisors (see below), whose sum is σ = 20814323712. Its totient is φ = 4130339040.

The previous prime is 10020321323. The next prime is 10020321361. The reversal of 10020321332 is 23312302001.

It is a self number, because there is not a number n which added to its sum of digits gives 10020321332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106073 + ... + 176895.

It is an arithmetic number, because the mean of its divisors is an integer number (433631744).

Almost surely, 210020321332 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 10020321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10407161856).

10020321332 is an abundant number, since it is smaller than the sum of its proper divisors (10794002380).

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

10020321332 is a wasteful number, since it uses less digits than its factorization.

10020321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71028 (or 71026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10020321332 its reverse (23312302001), we get a palindrome (33332623333).

The spelling of 10020321332 in words is "ten billion, twenty million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 124 163 217 326 434 652 868 1141 2282 4564 5053 10106 20212 35371 70742 70823 141484 141646 283292 495761 991522 1983044 2195513 4391026 8782052 11544149 15368591 23088298 30737182 46176596 61474364 80809043 161618086 323236172 357868619 715737238 1431474476 2505080333 5010160666 10020321332