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110211111010112 = 26710112172001407
BaseRepresentation
bin11001000011110010000110…
…000111110011111101000000
3112110020002010211011021002112
4121003302012013303331000
5103421144323404310422
61030222141353234452
732133330033506210
oct3103620607637500
9473202124137075
10110211111010112
11321312a6a70782
121043b79a102a28
134965b2b515018
141d3036394c240
15cb1c9d352ee2
hex643c861f3f40

110211111010112 has 112 divisors (see below), whose sum is σ = 252625275076608. Its totient is φ = 46727226163200.

The previous prime is 110211111010097. The next prime is 110211111010201. The reversal of 110211111010112 is 211010111112011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54066113 + ... + 56067519.

It is an arithmetic number, because the mean of its divisors is an integer number (2255582813184).

Almost surely, 2110211111010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110211111010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126312637538304).

110211111010112 is an abundant number, since it is smaller than the sum of its proper divisors (142414164066496).

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

110211111010112 is a wasteful number, since it uses less digits than its factorization.

110211111010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002744 (or 2002734 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 110211111010112 its reverse (211010111112011), we get a palindrome (321221222122123).

The spelling of 110211111010112 in words is "one hundred ten trillion, two hundred eleven billion, one hundred eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 202 224 404 448 707 808 1217 1414 1616 2434 2828 3232 4868 5656 6464 8519 9736 11312 17038 19472 22624 34076 38944 45248 68152 77888 122917 136304 245834 272608 491668 545216 860419 983336 1720838 1966672 2001407 3441676 3933344 4002814 6883352 7866688 8005628 13766704 14009849 16011256 27533408 28019698 32022512 55066816 56039396 64045024 112078792 128090048 202142107 224157584 404284214 448315168 808568428 896630336 1414994749 1617136856 2435712319 2829989498 3234273712 4871424638 5659978996 6468547424 9742849276 11319957992 12937094848 17049986233 19485698552 22639915984 34099972466 38971397104 45279831968 68199944932 77942794208 90559663936 136399889864 155885588416 246006944219 272799779728 492013888438 545599559456 984027776876 1091199118912 1722048609533 1968055553752 3444097219066 3936111107504 6888194438132 7872222215008 13776388876264 15744444430016 27552777752528 55105555505056 110211111010112