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11543020202120 = 235111711113138863
BaseRepresentation
bin1010011111111001000110…
…0111100110100010001000
31111212111112220222002111012
42213332101213212202020
53003110101132431440
640314442411023052
72300645541556541
oct247762147464210
944774486862435
1011543020202120
113750404a83a60
12136514613aa88
1365966b260014
142bc98410b4c8
151503d9008e65
hexa7f919e6888

11543020202120 has 128 divisors (see below), whose sum is σ = 30002422602240. Its totient is φ = 3950168432640.

The previous prime is 11543020202047. The next prime is 11543020202251. The reversal of 11543020202120 is 2120202034511.

11543020202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83055809 + ... + 83194671.

It is an arithmetic number, because the mean of its divisors is an integer number (234393926580).

Almost surely, 211543020202120 is an apocalyptic number.

11543020202120 is a gapful number since it is divisible by the number (10) 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 11543020202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15001211301120).

11543020202120 is an abundant number, since it is smaller than the sum of its proper divisors (18459402400120).

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

11543020202120 is a wasteful number, since it uses less digits than its factorization.

11543020202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150015 (or 150011 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 11543020202120 its reverse (2120202034511), we get a palindrome (13663222236631).

The spelling of 11543020202120 in words is "eleven trillion, five hundred forty-three billion, twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 11113 22226 44452 55565 88904 111130 122243 138863 188921 222260 244486 277726 377842 444520 488972 555452 611215 694315 755684 944605 977944 1110904 1222430 1388630 1511368 1527493 1889210 2078131 2360671 2444860 2777260 3054986 3778420 4156262 4721342 4889720 5554520 6109972 7556840 7637465 8312524 9442684 10390655 11803355 12219944 15274930 16625048 18885368 20781310 23606710 25967381 30549860 41562620 47213420 51934762 61099720 83125240 94426840 103869524 129836905 207739048 259673810 519347620 1038695240 1543184519 3086369038 6172738076 7715922595 12345476152 15431845190 16975029709 26234136823 30863690380 33950059418 52468273646 61727380760 67900118836 84875148545 104936547292 131170684115 135800237672 169750297090 209873094584 262341368230 288575505053 339500594180 524682736460 577151010106 679001188360 1049365472920 1154302020212 1442877525265 2308604040424 2885755050530 5771510101060 11543020202120