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112110200001198 = 23371571999492937
BaseRepresentation
bin11001011111011010110000…
…101001011001001010101110
3112200221122000121010201112000
4121133122300221121022232
5104143303142200014243
61034234414225153130
732420460160546140
oct3137326051311256
9480848017121460
10112110200001198
11327a373a214a33
12106a785b18b7a6
134a72c3c5ba419
141d9823c396c90
15ce639c1425d3
hex65f6b0a592ae

112110200001198 has 128 divisors (see below), whose sum is σ = 287977767168000. Its totient is φ = 31667523174144.

The previous prime is 112110200001181. The next prime is 112110200001199. The reversal of 112110200001198 is 891100002011211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112110200001199) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7063386 + ... + 16556322.

It is an arithmetic number, because the mean of its divisors is an integer number (2249826306000).

Almost surely, 2112110200001198 is an apocalyptic number.

112110200001198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112110200001198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143988883584000).

112110200001198 is an abundant number, since it is smaller than the sum of its proper divisors (175867567166802).

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

112110200001198 is a wasteful number, since it uses less digits than its factorization.

112110200001198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493311 (or 9493305 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 112110200001198 in words is "one hundred twelve trillion, one hundred ten billion, two hundred million, one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 157 189 199 314 378 398 471 597 942 1099 1194 1393 1413 1791 2198 2786 2826 3297 3582 4179 4239 5373 6594 8358 8478 9891 10746 12537 19782 25074 29673 31243 37611 59346 62486 75222 93729 187458 218701 281187 437402 562374 656103 843561 1312206 1687122 1968309 3936618 5904927 9492937 11809854 18985874 28478811 56957622 66450559 85436433 132901118 170872866 199351677 256309299 398703354 512618598 598055031 1196110062 1490391109 1794165093 1889094463 2980782218 3588330186 3778188926 4471173327 5667283389 8942346654 10432737763 11334566778 13223661241 13413519981 17001850167 20865475526 26447322482 26827039962 31298213289 34003700334 39670983723 40240559943 51005550501 62596426578 79341967446 80481119886 93894639867 102011101002 119012951169 187789279734 238025902338 281683919601 296587830691 357038853507 563367839202 593175661382 714077707014 889763492073 1779526984146 2076114814837 2669290476219 4152229629674 5338580952438 6228344444511 8007871428657 12456688889022 16015742857314 18685033333533 37370066667066 56055100000599 112110200001198