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110220212112 = 24347301916183
BaseRepresentation
bin110011010100110100…
…0101111011110010000
3101112111102202220121020
41212221220233132100
53301212333241422
6122345013355440
710651234226163
oct1465150573620
9345442686536
10110220212112
114282048879a
1219440638b80
13a51701002a
145498547ada
152d015e595c
hex19a9a2f790

110220212112 has 80 divisors (see below), whose sum is σ = 290908047360. Its totient is φ = 35944235136.

The previous prime is 110220212111. The next prime is 110220212149. The reversal of 110220212112 is 211212022011.

It is a junction number, because it is equal to n+sod(n) for n = 110220212091 and 110220212100.

It is not an unprimeable number, because it can be changed into a prime (110220212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6802773 + ... + 6818955.

It is an arithmetic number, because the mean of its divisors is an integer number (3636350592).

Almost surely, 2110220212112 is an apocalyptic number.

110220212112 is a gapful number since it is divisible by the number (12) 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 110220212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145454023680).

110220212112 is an abundant number, since it is smaller than the sum of its proper divisors (180687835248).

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

110220212112 is a wasteful number, since it uses less digits than its factorization.

110220212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19260 (or 19254 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110220212112 its reverse (211212022011), we get a palindrome (321432234123).

The spelling of 110220212112 in words is "one hundred ten billion, two hundred twenty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 3019 6038 9057 12076 16183 18114 24152 32366 36228 48304 48549 64732 72456 97098 129464 141893 144912 194196 258928 283786 388392 425679 567572 760601 776784 851358 1135144 1521202 1702716 2270288 2281803 3042404 3405432 4563606 6084808 6810864 9127212 12169616 18254424 36508848 48856477 97712954 146569431 195425908 293138862 390851816 586277724 781703632 1172555448 2296254419 2345110896 4592508838 6888763257 9185017676 13777526514 18370035352 27555053028 36740070704 55110106056 110220212112