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21200210111000 = 2353175281236143
BaseRepresentation
bin1001101001000000011101…
…11111100010101000011000
32210001201110002112100202002
410310200032333202220120
510234321012242023000
6113031124142100132
74315443653443304
oct464401677425030
983051402470662
1021200210111000
116833a5aa12688
1224648ab57a648
13baa22c285c7b
1453414a63ad04
1526b6ed2268d5
hex13480efe2a18

21200210111000 has 128 divisors (see below), whose sum is σ = 52536807048960. Its totient is φ = 7979710464000.

The previous prime is 21200210110997. The next prime is 21200210111009. The reversal of 21200210111000 is 11101200212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200210111009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89658929 + ... + 89895071.

It is an arithmetic number, because the mean of its divisors is an integer number (410443805070).

Almost surely, 221200210111000 is an apocalyptic number.

21200210111000 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 21200210111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26268403524480).

21200210111000 is an abundant number, since it is smaller than the sum of its proper divisors (31336596937960).

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

21200210111000 is a wasteful number, since it uses less digits than its factorization.

21200210111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241462 (or 241448 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21200210111000 its reverse (11101200212), we get a palindrome (21211311311212).

The spelling of 21200210111000 in words is "twenty-one trillion, two hundred billion, two hundred ten million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 5281 8500 10562 17000 21124 26405 42248 52810 89777 105620 132025 179554 211240 236143 264050 359108 448885 472286 528100 660125 718216 897770 944572 1056200 1180715 1320250 1795540 1889144 2244425 2361430 2640500 3591080 4014431 4488850 4722860 5281000 5903575 8028862 8977700 9445720 11222125 11807150 16057724 17955400 20072155 22444250 23614300 29517875 32115448 40144310 44888500 47228600 59035750 80288620 89777000 100360775 118071500 160577240 200721550 236143000 401443100 501803875 802886200 1003607750 1247071183 2007215500 2494142366 4014431000 4988284732 6235355915 9976569464 12470711830 21200210111 24941423660 31176779575 42400420222 49882847320 62353559150 84800840444 106001050555 124707118300 155883897875 169601680888 212002101110 249414236600 311767795750 424004202220 530005252775 623535591500 848008404440 1060010505550 1247071183000 2120021011100 2650026263875 4240042022200 5300052527750 10600105055500 21200210111000