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21210210012200 = 23521120814632871
BaseRepresentation
bin1001101001010011000110…
…00010001000110000101000
32210002200021000002222100012
410310221203002020300220
510240002002230342300
6113035500322431052
74316246530264226
oct464514302106050
983080230088305
1021210210012200
11683822166a440
122466820502488
13bab163c3a481
14534818775b16
1526bad60b5435
hex134a63088c28

21210210012200 has 96 divisors (see below), whose sum is σ = 53822668432320. Its totient is φ = 7709095680000.

The previous prime is 21210210012127. The next prime is 21210210012217. The reversal of 21210210012200 is 221001201212.

It is a super-3 number, since 3×212102100122003 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2261765 + ... + 6894635.

It is an arithmetic number, because the mean of its divisors is an integer number (560652796170).

Almost surely, 221210210012200 is an apocalyptic number.

21210210012200 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 21210210012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26911334216160).

21210210012200 is an abundant number, since it is smaller than the sum of its proper divisors (32612458420120).

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

21210210012200 is a wasteful number, since it uses less digits than its factorization.

21210210012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634979 (or 4634970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21210210012200 its reverse (221001201212), we get a palindrome (21431211213412).

The spelling of 21210210012200 in words is "twenty-one trillion, two hundred ten billion, two hundred ten million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2081 2200 4162 8324 10405 16648 20810 22891 41620 45782 52025 83240 91564 104050 114455 183128 208100 228910 416200 457820 572275 915640 1144550 2289100 4578200 4632871 9265742 18531484 23164355 37062968 46328710 50961581 92657420 101923162 115821775 185314840 203846324 231643550 254807905 407692648 463287100 509615810 926574200 1019231620 1274039525 2038463240 2548079050 5096158100 9641004551 10192316200 19282009102 38564018204 48205022755 77128036408 96410045510 106051050061 192820091020 212102100122 241025113775 385640182040 424204200244 482050227550 530255250305 848408400488 964100455100 1060510500610 1928200910200 2121021001220 2651276251525 4242042002440 5302552503050 10605105006100 21210210012200