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2010020050224 = 243253823320009
BaseRepresentation
bin11101001111111110100…
…001111111010100110000
321010011012202100010211100
4131033332201333110300
5230413010113101344
64135220201244400
7265135112345334
oct35177641772460
97104182303740
102010020050224
11705498a0a92a
1228567b793700
1311770c451a84
146d3dd5517c4
15374429eb569
hex1d3fe87f530

2010020050224 has 120 divisors (see below), whose sum is σ = 5738383478880. Its totient is φ = 656564253696.

The previous prime is 2010020050189. The next prime is 2010020050253. The reversal of 2010020050224 is 4220500200102.

2010020050224 is a `hidden beast` number, since 20 + 100 + 20 + 0 + 502 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2010020050197 and 2010020050206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6121132 + ... + 6441140.

It is an arithmetic number, because the mean of its divisors is an integer number (47819862324).

Almost surely, 22010020050224 is an apocalyptic number.

2010020050224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010020050224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869191739440).

2010020050224 is an abundant number, since it is smaller than the sum of its proper divisors (3728363428656).

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

2010020050224 is a wasteful number, since it uses less digits than its factorization.

2010020050224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320899 (or 320890 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 2010020050224 its reverse (4220500200102), we get a palindrome (6230520250326).

The spelling of 2010020050224 in words is "two trillion, ten billion, twenty million, fifty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 823 848 954 1272 1646 1908 2469 2544 3292 3816 4938 6584 7407 7632 9876 13168 14814 19752 29628 39504 43619 59256 87238 118512 130857 174476 261714 320009 348952 392571 523428 640018 697904 785142 960027 1046856 1280036 1570284 1920054 2093712 2560072 2880081 3140568 3840108 5120144 5760162 6281136 7680216 11520324 15360432 16960477 23040648 33920954 46081296 50881431 67841908 101762862 135683816 152644293 203525724 263367407 271367632 305288586 407051448 526734814 610577172 790102221 814102896 1053469628 1221154344 1580204442 2106939256 2370306663 2442308688 3160408884 4213878512 4740613326 6320817768 9481226652 12641635536 13958472571 18962453304 27916945142 37924906608 41875417713 55833890284 83750835426 111667780568 125626253139 167501670852 223335561136 251252506278 335003341704 502505012556 670006683408 1005010025112 2010020050224