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2100002200200 = 2332526311848919
BaseRepresentation
bin11110100011110001111…
…000101001101010001000
321102202110202121222022200
4132203301320221222020
5233401301030401300
64244421103120200
7304502004116112
oct36436170515210
97382422558280
102100002200200
1173a673549a33
1229abb25a3060
1312304c6643b8
14738d7d243b2
153995c4ee200
hex1e8f1e29a88

2100002200200 has 144 divisors (see below), whose sum is σ = 7063687924800. Its totient is φ = 559112803200.

The previous prime is 2100002200199. The next prime is 2100002200211. The reversal of 2100002200200 is 20022000012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211341 + ... + 2060259.

Almost surely, 22100002200200 is an apocalyptic number.

2100002200200 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 2100002200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531843962400).

2100002200200 is an abundant number, since it is smaller than the sum of its proper divisors (4963685724600).

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

2100002200200 is a wasteful number, since it uses less digits than its factorization.

2100002200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849572 (or 1849560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2100002200200 its reverse (20022000012), we get a palindrome (2120024200212).

The spelling of 2100002200200 in words is "two trillion, one hundred billion, two million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 631 900 1262 1800 1893 2524 3155 3786 5048 5679 6310 7572 9465 11358 12620 15144 15775 18930 22716 25240 28395 31550 37860 45432 47325 56790 63100 75720 94650 113580 126200 141975 189300 227160 283950 378600 567900 1135800 1848919 3697838 5546757 7395676 9244595 11093514 14791352 16640271 18489190 22187028 27733785 33280542 36978380 44374056 46222975 55467570 66561084 73956760 83201355 92445950 110935140 133122168 138668925 166402710 184891900 221870280 277337850 332805420 369783800 416006775 554675700 665610840 832013550 1109351400 1166667889 1664027100 2333335778 3328054200 3500003667 4666671556 5833339445 7000007334 9333343112 10500011001 11666678890 14000014668 17500018335 21000022002 23333357780 28000029336 29166697225 35000036670 42000044004 46666715560 52500055005 58333394450 70000073340 84000088008 87500091675 105000110010 116666788900 140000146680 175000183350 210000220020 233333577800 262500275025 350000366700 420000440040 525000550050 700000733400 1050001100100 2100002200200