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2100300122200 = 2352721300716477
BaseRepresentation
bin11110100100000011101…
…001001000100001011000
321102210020112012222110211
4132210003221020201120
5233402403312402300
64244510424420504
7304512252322300
oct36440351104130
97383215188424
102100300122200
1173a806734165
1229b076317734
131230992b53c7
1473925716600
153997874c4ba
hex1e903a48858

2100300122200 has 144 divisors (see below), whose sum is σ = 5681236065120. Its totient is φ = 720003836160.

The previous prime is 2100300122197. The next prime is 2100300122201. The reversal of 2100300122200 is 22210030012.

It is a super-2 number, since 2×21003001222002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100300122201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127460362 + ... + 127476838.

It is an arithmetic number, because the mean of its divisors is an integer number (39453028230).

Almost surely, 22100300122200 is an apocalyptic number.

2100300122200 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 2100300122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840618032560).

2100300122200 is an abundant number, since it is smaller than the sum of its proper divisors (3580935942920).

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

2100300122200 is a wasteful number, since it uses less digits than its factorization.

2100300122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29514 (or 29498 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2100300122200 its reverse (22210030012), we get a palindrome (2122510152212).

The spelling of 2100300122200 in words is "two trillion, one hundred billion, three hundred million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 13007 16477 26014 32954 52028 65035 65908 82385 91049 104056 115339 130070 131816 164770 182098 230678 260140 325175 329540 364196 411925 455245 461356 520280 576695 637343 650350 659080 728392 807373 823850 910490 922712 1153390 1274686 1300700 1614746 1647700 1820980 2276225 2306780 2549372 2601400 2883475 3186715 3229492 3295400 3641960 4036865 4552450 4613560 5098744 5766950 6373430 6458984 8073730 9104900 11533900 12746860 15933575 16147460 18209800 20184325 23067800 25493720 31867150 32294920 40368650 63734300 80737300 127468600 161474600 214316339 428632678 857265356 1071581695 1500214373 1714530712 2143163390 3000428746 4286326780 5357908475 6000857492 7501071865 8572653560 10501500611 10715816950 12001714984 15002143730 21003001222 21431633900 30004287460 37505359325 42006002444 42863267800 52507503055 60008574920 75010718650 84012004888 105015006110 150021437300 210030012220 262537515275 300042874600 420060024440 525075030550 1050150061100 2100300122200