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21200213003300 = 22522911593630589
BaseRepresentation
bin1001101001000000011110…
…01010100100110000100100
32210001201110021222022020022
410310200033022210300210
510234321014012101200
6113031124324054312
74315444020150542
oct464401712446044
983051407868208
1021200213003300
116833a61608711
1224648b0534398
13baa22ca595a6
1453414ab90d92
1526b6ed5e8885
hex13480f2a4c24

21200213003300 has 72 divisors (see below), whose sum is σ = 47595003594600. Its totient is φ = 8186949227520.

The previous prime is 21200213003231. The next prime is 21200213003323. The reversal of 21200213003300 is 330031200212.

It can be written as a sum of positive squares in 12 ways, for example, as 7315109985316 + 13885103017984 = 2704646^2 + 3726272^2 .

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, 33304406 + ... + 33934994.

Almost surely, 221200213003300 is an apocalyptic number.

21200213003300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200213003300 is an abundant number, since it is smaller than the sum of its proper divisors (26394790591300).

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

21200213003300 is a wasteful number, since it uses less digits than its factorization.

21200213003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642225 (or 642218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 21200213003300 its reverse (330031200212), we get a palindrome (21530244203512).

The spelling of 21200213003300 in words is "twenty-one trillion, two hundred billion, two hundred thirteen million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 11593 23186 46372 57965 115930 231860 289825 336197 579650 630589 672394 1159300 1261178 1344788 1680985 2522356 3152945 3361970 6305890 6723940 8404925 12611780 15764725 16809850 18287081 31529450 33619700 36574162 63058900 73148324 91435405 182870810 365741620 457177025 914354050 1828708100 7310418277 14620836554 29241673108 36552091385 73104182770 146208365540 182760456925 212002130033 365520913850 424004260066 731041827700 848008520132 1060010650165 2120021300330 4240042600660 5300053250825 10600106501650 21200213003300