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20132100012200 = 23521117215317231
BaseRepresentation
bin1001001001111010111101…
…01010110111100010101000
32122021121110122221102110012
410210331132222313202220
510114321020100342300
6110452320431511052
74145332130423531
oct444753652674250
978247418842405
1020132100012200
116461a80683440
12231189b688488
13b305ab27bb27
144d85825b7688
1524da37265435
hex124f5eab78a8

20132100012200 has 96 divisors (see below), whose sum is σ = 51092006152320. Its totient is φ = 7316508480000.

The previous prime is 20132100012161. The next prime is 20132100012203. The reversal of 20132100012200 is 221000123102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20132100012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127585 + ... + 6444815.

It is an arithmetic number, because the mean of its divisors is an integer number (532208397420).

Almost surely, 220132100012200 is an apocalyptic number.

20132100012200 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 20132100012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25546003076160).

20132100012200 is an abundant number, since it is smaller than the sum of its proper divisors (30959906140120).

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

20132100012200 is a wasteful number, since it uses less digits than its factorization.

20132100012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318979 (or 5318970 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20132100012200 its reverse (221000123102), we get a palindrome (20353100135302).

The spelling of 20132100012200 in words is "twenty trillion, one hundred thirty-two billion, one hundred 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 1721 2200 3442 6884 8605 13768 17210 18931 34420 37862 43025 68840 75724 86050 94655 151448 172100 189310 344200 378620 473275 757240 946550 1893100 3786200 5317231 10634462 21268924 26586155 42537848 53172310 58489541 106344620 116979082 132930775 212689240 233958164 265861550 292447705 467916328 531723100 584895410 1063446200 1169790820 1462238525 2339581640 2924477050 5848954100 9150954551 11697908200 18301909102 36603818204 45754772755 73207636408 91509545510 100660500061 183019091020 201321000122 228773863775 366038182040 402642000244 457547727550 503302500305 805284000488 915095455100 1006605000610 1830190910200 2013210001220 2516512501525 4026420002440 5033025003050 10066050006100 20132100012200