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203201320300 = 2252113143138581
BaseRepresentation
bin1011110100111110111…
…1100001010101101100
3201102111110010121100221
42331033233201111230
511312124014222200
6233203245301124
720452342503226
oct2751757412554
9642443117327
10203201320300
11791a4936560
123346b8647a4
1316214630944
149b99331416
15544453391a
hex2f4fbe156c

203201320300 has 144 divisors (see below), whose sum is σ = 508101479424. Its totient is φ = 69844320000.

The previous prime is 203201320247. The next prime is 203201320303. The reversal of 203201320300 is 3023102302.

It is not an unprimeable number, because it can be changed into a prime (203201320303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1397010 + ... + 1535590.

It is an arithmetic number, because the mean of its divisors is an integer number (3528482496).

Almost surely, 2203201320300 is an apocalyptic number.

203201320300 is a gapful number since it is divisible by the number (20) 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 203201320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254050739712).

203201320300 is an abundant number, since it is smaller than the sum of its proper divisors (304900159124).

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

203201320300 is a wasteful number, since it uses less digits than its factorization.

203201320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138680 (or 138673 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 203201320300 its reverse (3023102302), we get a palindrome (206224422602).

The spelling of 203201320300 in words is "two hundred three billion, two hundred one million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 43 44 50 55 62 86 100 110 124 155 172 215 220 275 310 341 430 473 550 620 682 775 860 946 1075 1100 1333 1364 1550 1705 1892 2150 2365 2666 3100 3410 4300 4730 5332 6665 6820 8525 9460 11825 13330 14663 17050 23650 26660 29326 33325 34100 47300 58652 66650 73315 133300 138581 146630 277162 293260 366575 554324 692905 733150 1385810 1466300 1524391 2771620 3048782 3464525 4296011 5958983 6097564 6929050 7621955 8592022 11917966 13858100 15243910 17184044 21480055 23835932 29794915 30487820 38109775 42960110 47256121 59589830 65548813 76219550 85920220 94512242 107400275 119179660 131097626 148974575 152439100 184728473 189024484 214800550 236280605 262195252 297949150 327744065 369456946 429601100 472561210 595898300 655488130 738913892 923642365 945122420 1181403025 1310976260 1638720325 1847284730 2032013203 2362806050 3277440650 3694569460 4064026406 4618211825 4725612100 6554881300 8128052812 9236423650 10160066015 18472847300 20320132030 40640264060 50800330075 101600660150 203201320300