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201832767238102 = 271121319482371139
BaseRepresentation
bin101101111001000011011010…
…011001010010111111010110
3222110122000122120112101110021
4231321003122121102333112
5202423312001403104402
61553132405424015354
760340636060642150
oct5571033231227726
9873560576471407
10201832767238102
1159345883377a00
121a77866146155a
138880995c95270
1437baa88173ad0
151850200638d37
hexb790da652fd6

201832767238102 has 96 divisors (see below), whose sum is σ = 431124030086400. Its totient is φ = 68766829433280.

The previous prime is 201832767238097. The next prime is 201832767238183.

201832767238102 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 201832767238102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240767152 + ... + 241603987.

It is an arithmetic number, because the mean of its divisors is an integer number (4490875313400).

Almost surely, 2201832767238102 is an apocalyptic number.

201832767238102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201832767238102 is an abundant number, since it is smaller than the sum of its proper divisors (229291262848298).

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

201832767238102 is a wasteful number, since it uses less digits than its factorization.

201832767238102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482371202 (or 482371191 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 201832767238102 in words is "two hundred one trillion, eight hundred thirty-two billion, seven hundred sixty-seven million, two hundred thirty-eight thousand, one hundred two".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 121 133 143 154 182 209 242 247 266 286 418 494 847 1001 1463 1573 1694 1729 2002 2299 2717 2926 3146 3458 4598 5434 11011 16093 19019 22022 29887 32186 38038 59774 209209 418418 482371139 964742278 3376597973 5306082529 6270824807 6753195946 9165051641 10612165058 12541649614 18330103282 37142577703 43895773649 58366907819 64155361487 68979072877 74285155406 87791547298 100815568051 116733815638 119145671333 128310722974 137958145754 201631136102 238291342666 408568354733 482853510139 705708976357 758769801647 817136709466 834019699331 965707020278 1108971248561 1310602384663 1411417952714 1517539603294 1668039398662 2217942497122 2621204769326 5311388611529 7762798739927 9174216692641 10622777223058 14416626231293 15525597479854 18348433385282 28833252462586 100916383619051 201832767238102