Search a number
-
+
10020200432244 = 22329672843151163
BaseRepresentation
bin1001000111010000001001…
…1111001100001001110100
31022110220212222220112102120
42101310002133030021310
52303132332302312434
633151114434235540
72052635623235622
oct221640237141164
938426788815376
1010020200432244
1132135a7a10822
121159b94a25bb0
13578b9320c102
14268da1caa512
151259ad5a1349
hex91d027cc274

10020200432244 has 96 divisors (see below), whose sum is σ = 24556482961920. Its totient is φ = 3175620970368.

The previous prime is 10020200432233. The next prime is 10020200432321. The reversal of 10020200432244 is 44223400202001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66211807 + ... + 66362969.

It is an arithmetic number, because the mean of its divisors is an integer number (255796697520).

Almost surely, 210020200432244 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 10020200432244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12278241480960).

10020200432244 is an abundant number, since it is smaller than the sum of its proper divisors (14536282529676).

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

10020200432244 is a wasteful number, since it uses less digits than its factorization.

10020200432244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154109 (or 154107 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10020200432244 its reverse (44223400202001), we get a palindrome (54243600634245).

The spelling of 10020200432244 in words is "ten trillion, twenty billion, two hundred million, four hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 67 87 116 134 174 201 268 348 402 804 1943 2843 3886 5686 5829 7772 8529 11372 11658 17058 23316 34116 82447 151163 164894 190481 247341 302326 329788 380962 453489 494682 571443 604652 761924 906978 989364 1142886 1813956 2285772 4383727 5523949 8767454 10127921 11047898 13151181 16571847 17534908 20255842 22095796 26302362 30383763 33143694 40511684 52604724 60767526 66287388 121535052 293709709 429756409 587419418 859512818 881129127 1174838836 1289269227 1719025636 1762258254 2578538454 3524516508 5157076908 12462935861 24925871722 28793679403 37388807583 49851743444 57587358806 74777615166 86381038209 115174717612 149555230332 172762076418 345524152836 835016702687 1670033405374 2505050108061 3340066810748 5010100216122 10020200432244