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112221002202200 = 235212733181133153
BaseRepresentation
bin11001100001000001111100…
…111110001111110001011000
3112201100020000121000201210022
4121201001330332033301120
5104202112103030432300
61034401341113010012
732431462022661053
oct3141017476176130
9481306017021708
10112221002202200
1132836729169581
12107052226b3908
134a8051a05ac78
141d9d74dd19a9a
15ce91d4899285
hex66107cf8fc58

112221002202200 has 96 divisors (see below), whose sum is σ = 262978169986560. Its totient is φ = 44533272268800.

The previous prime is 112221002202139. The next prime is 112221002202311. The reversal of 112221002202200 is 2202200122211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842730824 + ... + 842863976.

It is an arithmetic number, because the mean of its divisors is an integer number (2739355937360).

Almost surely, 2112221002202200 is an apocalyptic number.

112221002202200 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 112221002202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131489084993280).

112221002202200 is an abundant number, since it is smaller than the sum of its proper divisors (150757167784360).

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

112221002202200 is a wasteful number, since it uses less digits than its factorization.

112221002202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166477 (or 166468 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 112221002202200 its reverse (2202200122211), we get a palindrome (114423202324411).

The spelling of 112221002202200 in words is "one hundred twelve trillion, two hundred twenty-one billion, two million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 1016 1270 2540 3175 5080 6350 12700 25400 33181 66362 132724 133153 165905 265448 266306 331810 532612 663620 665765 829525 1065224 1327240 1331530 1659050 2663060 3318100 3328825 4213987 5326120 6636200 6657650 8427974 13315300 16855948 16910431 21069935 26630600 33711896 33820862 42139870 67641724 84279740 84552155 105349675 135283448 168559480 169104310 210699350 338208620 421398700 422760775 676417240 842797400 845521550 1691043100 3382086200 4418149693 8836299386 17672598772 22090748465 35345197544 44181496930 88362993860 110453742325 176725987720 220907484650 441814969300 561105011011 883629938600 1122210022022 2244420044044 2805525055055 4488840088088 5611050110110 11222100220220 14027625275275 22444200440440 28055250550550 56110501101100 112221002202200