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21200100210120 = 23351329468614063
BaseRepresentation
bin1001101001000000010000…
…11100010011010111001000
32210001201011102201211002010
410310200020130103113020
510234320301123210440
6113031105214335520
74315441150343466
oct464401034232710
983051142654063
1021200100210120
116833a03979507
12246487a7ba5a0
13baa212586a70
14534139bcd836
1526b6e3768580
hex1348087135c8

21200100210120 has 128 divisors (see below), whose sum is σ = 70854446476800. Its totient is φ = 5038538394624.

The previous prime is 21200100210073. The next prime is 21200100210143. The reversal of 21200100210120 is 2101200100212.

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

It is a junction number, because it is equal to n+sod(n) for n = 21200100210096 and 21200100210105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 234261792 + ... + 234352271.

It is an arithmetic number, because the mean of its divisors is an integer number (553550363100).

Almost surely, 221200100210120 is an apocalyptic number.

21200100210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200100210120 is an abundant number, since it is smaller than the sum of its proper divisors (49654346266680).

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

21200100210120 is a wasteful number, since it uses less digits than its factorization.

21200100210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468614119 (or 468614115 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21200100210120 its reverse (2101200100212), we get a palindrome (23301300310332).

The spelling of 21200100210120 in words is "twenty-one trillion, two hundred billion, one hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 1131 1160 1508 1560 1740 1885 2262 3016 3480 3770 4524 5655 7540 9048 11310 15080 22620 45240 468614063 937228126 1405842189 1874456252 2343070315 2811684378 3748912504 4686140630 5623368756 6091982819 7029210945 9372281260 11246737512 12183965638 13589807827 14058421890 18275948457 18744562520 24367931276 27179615654 28116843780 30459914095 36551896914 40769423481 48735862552 54359231308 56233687560 60919828190 67949039135 73103793828 81538846962 91379742285 108718462616 121839656380 135898078270 146207587656 163077693924 176667501751 182759484570 203847117405 243679312760 271796156540 326155387848 353335003502 365518969140 407694234810 530002505253 543592313080 706670007004 731037938280 815388469620 883337508755 1060005010506 1413340014008 1630776939240 1766675017510 2120010021012 2650012526265 3533350035020 4240020042024 5300025052530 7066700070040 10600050105060 21200100210120