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112200102012222 = 23374730241208837
BaseRepresentation
bin11001100000101110011111…
…001110010110010100111110
3112201021020002000122002001000
4121200232133032112110332
5104201241302103342342
61034344003145231130
732430122060204430
oct3140563716262476
9481236060562030
10112200102012222
11328288835984a4
121070116b1924a6
134a7b569021353
141d9c72a268650
15ce88aeab544c
hex660b9f39653e

112200102012222 has 128 divisors (see below), whose sum is σ = 291026478919680. Its totient is φ = 31373916779520.

The previous prime is 112200102012209. The next prime is 112200102012233. The reversal of 112200102012222 is 222210201002211.

It is a happy number.

112200102012222 is a `hidden beast` number, since 11 + 220 + 0 + 10 + 201 + 2 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112200102012195 and 112200102012204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537157188 + ... + 537366024.

It is an arithmetic number, because the mean of its divisors is an integer number (2273644366560).

Almost surely, 2112200102012222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200102012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145513239459840).

112200102012222 is an abundant number, since it is smaller than the sum of its proper divisors (178826376907458).

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

112200102012222 is a wasteful number, since it uses less digits than its factorization.

112200102012222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239143 (or 239137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112200102012222 its reverse (222210201002211), we get a palindrome (334410303014433).

The spelling of 112200102012222 in words is "one hundred twelve trillion, two hundred billion, one hundred two million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 329 378 423 658 846 987 1269 1974 2538 2961 5922 8883 17766 30241 60482 90723 181446 208837 211687 272169 417674 423374 544338 626511 635061 816507 1253022 1270122 1421327 1461859 1633014 1879533 1905183 2842654 2923718 3759066 3810366 4263981 4385577 5638599 5715549 8527962 8771154 9815339 9949289 11277198 11431098 12791943 13156731 19630678 19898578 25583886 26313462 29446017 29847867 38375829 39470193 58892034 59695734 68707373 76751658 78940386 88338051 89543601 137414746 176676102 179087202 206122119 265014153 268630803 412244238 530028306 537261606 618366357 1236732714 1855099071 3710198142 6315439717 12630879434 18946319151 37892638302 44208078019 56838957453 88416156038 113677914906 132624234057 170516872359 265248468114 296825666699 341033744718 397872702171 593651333398 795745404342 890477000097 1193618106513 1780954000194 2077779666893 2387236213026 2671431000291 4155559333786 5342862000582 6233339000679 8014293000873 12466678001358 16028586001746 18700017002037 37400034004074 56100051006111 112200102012222