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201330300300 = 223521440146601
BaseRepresentation
bin1011101110000000111…
…0001001010110001100
3201020200001110221102220
42323200032021112030
511244311024102200
6232253451015340
720355103213353
oct2734016112614
9636601427386
10201330300300
1178424784538
123302913a550
1315ca6b05a0c
149a5ca4c99a
15538514c4a0
hex2ee038958c

201330300300 has 72 divisors (see below), whose sum is σ = 582568619472. Its totient is φ = 53683200000.

The previous prime is 201330300247. The next prime is 201330300313. The reversal of 201330300300 is 3003033102.

It is a super-4 number, since 4×2013303003004 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201330300300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4297000 + ... + 4343600.

It is an arithmetic number, because the mean of its divisors is an integer number (8091230826).

Almost surely, 2201330300300 is an apocalyptic number.

201330300300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201330300300 is an abundant number, since it is smaller than the sum of its proper divisors (381238319172).

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

201330300300 is a wasteful number, since it uses less digits than its factorization.

201330300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61019 (or 61012 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 201330300300 its reverse (3003033102), we get a palindrome (204333333402).

The spelling of 201330300300 in words is "two hundred one billion, three hundred thirty million, three hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 14401 28802 43203 46601 57604 72005 86406 93202 139803 144010 172812 186404 216015 233005 279606 288020 360025 432030 466010 559212 699015 720050 864060 932020 1080075 1165025 1398030 1440100 2160150 2330050 2796060 3495075 4320300 4660100 6990150 13980300 671101001 1342202002 2013303003 2684404004 3355505005 4026606006 6711010010 8053212012 10066515015 13422020020 16777525025 20133030030 33555050050 40266060060 50332575075 67110100100 100665150150 201330300300