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201321200103300 = 223252223690222337
BaseRepresentation
bin101101110001100110111110…
…100111100010111110000100
3222101211010012120201100021200
4231301212332213202332010
5202341421304211301200
61552101403232542500
760255656005021434
oct5561467647427604
9871733176640250
10201321200103300
1159168929030972
121a6b54926b1a30
13884467a590434
14379ddd8a102c4
151841c5e28b800
hexb719be9e2f84

201321200103300 has 54 divisors (see below), whose sum is σ = 631030117215498. Its totient is φ = 53685653360640.

The previous prime is 201321200103299. The next prime is 201321200103377. The reversal of 201321200103300 is 3301002123102.

201321200103300 is a `hidden beast` number, since 2 + 0 + 1 + 321 + 2 + 0 + 0 + 10 + 330 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 170745809796 + 201150454293504 = 413214^2 + 14182752^2 .

It is a super-2 number, since 2×2013212001033002 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111845110269 + ... + 111845112068.

Almost surely, 2201321200103300 is an apocalyptic number.

201321200103300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201321200103300 is an abundant number, since it is smaller than the sum of its proper divisors (429708917112198).

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

201321200103300 is a wasteful number, since it uses less digits than its factorization.

201321200103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223690222357 (or 223690222347 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201321200103300 its reverse (3301002123102), we get a palindrome (204622202226402).

The spelling of 201321200103300 in words is "two hundred one trillion, three hundred twenty-one billion, two hundred million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 223690222337 447380444674 671070667011 894760889348 1118451111685 1342141334022 2013212001033 2236902223370 2684282668044 3355353335055 4026424002066 4473804446740 5592255558425 6710706670110 8052848004132 10066060005165 11184511116850 13421413340220 16776766675275 20132120010330 22369022233700 33553533350550 40264240020660 50330300025825 67107066701100 100660600051650 201321200103300