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21100210020300 = 22352614572523013
BaseRepresentation
bin1001100110000110001101…
…00001011101111111001100
32202201011022220201102002010
410303003012201131333030
510231201212231122200
6112513145213101220
74305303605626335
oct463030641357714
982634286642063
1021100210020300
1167a5604525424
122449441787810
13ba0983744178
1452d38159528c
15268ce8ec0150
hex1330c685dfcc

21100210020300 has 144 divisors (see below), whose sum is σ = 62186562812192. Its totient is φ = 5522368665600.

The previous prime is 21100210020283. The next prime is 21100210020301. The reversal of 21100210020300 is 302001200112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21100210020301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7101594 + ... + 9624606.

Almost surely, 221100210020300 is an apocalyptic number.

21100210020300 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 21100210020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31093281406096).

21100210020300 is an abundant number, since it is smaller than the sum of its proper divisors (41086352791892).

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

21100210020300 is a wasteful number, since it uses less digits than its factorization.

21100210020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523548 (or 2523541 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21100210020300 its reverse (302001200112), we get a palindrome (21402211220412).

The spelling of 21100210020300 in words is "twenty-one trillion, one hundred billion, two hundred ten million, twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 457 610 732 914 915 1220 1371 1525 1828 1830 2285 2742 3050 3660 4570 4575 5484 6100 6855 9140 9150 11425 13710 18300 22850 27420 27877 34275 45700 55754 68550 83631 111508 137100 139385 167262 278770 334524 418155 557540 696925 836310 1393850 1672620 2090775 2523013 2787700 4181550 5046026 7569039 8363100 10092052 12615065 15138078 25230130 30276156 37845195 50460260 63075325 75690390 126150650 151380780 153903793 189225975 252301300 307807586 378451950 461711379 615615172 756903900 769518965 923422758 1153016941 1539037930 1846845516 2306033882 2308556895 3078075860 3459050823 3847594825 4612067764 4617113790 5765084705 6918101646 7695189650 9234227580 11530169410 11542784475 13836203292 15390379300 17295254115 23060338820 23085568950 28825423525 34590508230 46171137900 57650847050 69181016460 70334033401 86476270575 115301694100 140668066802 172952541150 211002100203 281336133604 345905082300 351670167005 422004200406 703340334010 844008400812 1055010501015 1406680668020 1758350835025 2110021002030 3516701670050 4220042004060 5275052505075 7033403340100 10550105010150 21100210020300