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201330420200 = 235271311062111
BaseRepresentation
bin1011101110000000111…
…0100110100111101000
3201020200001201000220122
42323200032212213220
511244311041421300
6232253453342412
720355104223050
oct2734016464750
9636601630818
10201330420200
1178424856628
1233029197a08
1315ca6b48470
149a5ca80560
155385172c85
hex2ee03a69e8

201330420200 has 96 divisors (see below), whose sum is σ = 576114792960. Its totient is φ = 63717753600.

The previous prime is 201330420143. The next prime is 201330420209. The reversal of 201330420200 is 2024033102.

201330420200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201330420209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5512856 + ... + 5549255.

It is an arithmetic number, because the mean of its divisors is an integer number (6001195760).

Almost surely, 2201330420200 is an apocalyptic number.

201330420200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201330420200 is an abundant number, since it is smaller than the sum of its proper divisors (374784372760).

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

201330420200 is a wasteful number, since it uses less digits than its factorization.

201330420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062147 (or 11062138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 201330420200 its reverse (2024033102), we get a palindrome (203354453302).

The spelling of 201330420200 in words is "two hundred one billion, three hundred thirty million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 11062111 22124222 44248444 55310555 77434777 88496888 110621110 143807443 154869554 221242220 276552775 287614886 309739108 387173885 442484440 553105550 575229772 619478216 719037215 774347770 1006652101 1106211100 1150459544 1438074430 1548695540 1935869425 2013304202 2212422200 2876148860 3097391080 3595186075 3871738850 4026608404 5033260505 5752297720 7190372150 7743477700 8053216808 10066521010 14380744300 15486955400 20133042020 25166302525 28761488600 40266084040 50332605050 100665210100 201330420200