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21343121300 = 22522935320849
BaseRepresentation
bin10011111000001001…
…100010111110010100
32001002102211220022002
4103320021202332110
5322202314340200
613445505054432
71353621352304
oct237011427624
961072756262
1021343121300
1190626a9a26
124177927418
132021a30077
14106682d604
1584db27bd5
hex4f8262f94

21343121300 has 72 divisors (see below), whose sum is σ = 48049659000. Its totient is φ = 8219115520.

The previous prime is 21343121243. The next prime is 21343121309. The reversal of 21343121300 is 312134312.

It can be written as a sum of positive squares in 12 ways, for example, as 2058799876 + 19284321424 = 45374^2 + 138868^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21343121309) by changing a digit.

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, 1013276 + ... + 1034124.

It is an arithmetic number, because the mean of its divisors is an integer number (667356375).

Almost surely, 221343121300 is an apocalyptic number.

21343121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21343121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24024829500).

21343121300 is an abundant number, since it is smaller than the sum of its proper divisors (26706537700).

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

21343121300 is a wasteful number, since it uses less digits than its factorization.

21343121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21245 (or 21238 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21343121300 its reverse (312134312), we get a palindrome (21655255612).

The spelling of 21343121300 in words is "twenty-one billion, three hundred forty-three million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 353 580 706 725 1412 1450 1765 2900 3530 7060 8825 10237 17650 20474 20849 35300 40948 41698 51185 83396 102370 104245 204740 208490 255925 416980 511850 521225 604621 1023700 1042450 1209242 2084900 2418484 3023105 6046210 7359697 12092420 14719394 15115525 29438788 30231050 36798485 60462100 73596970 147193940 183992425 213431213 367984850 426862426 735969700 853724852 1067156065 2134312130 4268624260 5335780325 10671560650 21343121300