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200300201003320 = 2351119216471106821
BaseRepresentation
bin101101100010110000000110…
…010101000100100100111000
3222021012111211101210010000221
4231202300012111010210320
5202223204302424101240
61550000350402505424
760122132463613525
oct5542600625044470
9867174741703027
10200300201003320
11589049247183a0
121a56b630065274
13879c2c6936662
14376681d72a14c
151825404204a4a
hexb62c06544938

200300201003320 has 128 divisors (see below), whose sum is σ = 517546425369600. Its totient is φ = 68999690073600.

The previous prime is 200300201003311. The next prime is 200300201003341. The reversal of 200300201003320 is 23300102003002.

It is a junction number, because it is equal to n+sod(n) for n = 200300201003294 and 200300201003303.

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, 180415510 + ... + 181522330.

It is an arithmetic number, because the mean of its divisors is an integer number (4043331448200).

Almost surely, 2200300201003320 is an apocalyptic number.

200300201003320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200300201003320 is an abundant number, since it is smaller than the sum of its proper divisors (317246224366280).

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

200300201003320 is a wasteful number, since it uses less digits than its factorization.

200300201003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128509 (or 1128505 counting only the distinct ones).

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

Adding to 200300201003320 its reverse (23300102003002), we get a palindrome (223600303006322).

The spelling of 200300201003320 in words is "two hundred trillion, three hundred billion, two hundred one million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 21647 43294 86588 108235 173176 216470 238117 411293 432940 476234 822586 865880 952468 1106821 1190585 1645172 1904936 2056465 2213642 2381170 3290344 4112930 4427284 4524223 4762340 5534105 8225860 8854568 9048446 9524680 11068210 12175031 16451720 18096892 21029599 22136420 22621115 24350062 36193784 42059198 44272840 45242230 48700124 60875155 84118396 90484460 97400248 105147995 121750310 168236792 180968920 210295990 231325589 243500620 420591980 462651178 487001240 841183960 925302356 1156627945 1850604712 2313255890 4626511780 9253023560 23959354187 47918708374 95837416748 119796770935 191674833496 239593541870 263552896057 455227729553 479187083740 527105792114 910455459106 958374167480 1054211584228 1317764480285 1820910918212 2108423168456 2276138647765 2635528960570 3641821836424 4552277295530 5007505025083 5271057921140 9104554591060 10015010050166 10542115842280 18209109182120 20030020100332 25037525125415 40060040200664 50075050250830 100150100501660 200300201003320