Search a number
-
+
110001010112 = 26719101127951
BaseRepresentation
bin110011001110010010…
…0100011010111000000
3101111221011022021222122
41212130210203113000
53300240224310422
6122311143223412
710642633105250
oct1463444432700
9344834267878
10110001010112
1142718780014
121939b147b68
13a4b07918c6
1454773a7960
152cdc246d42
hex199c9235c0

110001010112 has 112 divisors (see below), whose sum is σ = 265198433280. Its totient is φ = 44219520000.

The previous prime is 110001010109. The next prime is 110001010117. The reversal of 110001010112 is 211010100011.

It is a happy number.

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 110001010112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001010117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795737 + ... + 923687.

Almost surely, 2110001010112 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 110001010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132599216640).

110001010112 is an abundant number, since it is smaller than the sum of its proper divisors (155197423168).

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

110001010112 is a wasteful number, since it uses less digits than its factorization.

110001010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128090 (or 128080 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110001010112 its reverse (211010100011), we get a palindrome (321011110123).

The spelling of 110001010112 in words is "one hundred ten billion, one million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 101 112 133 152 202 224 266 304 404 448 532 608 707 808 1064 1216 1414 1616 1919 2128 2828 3232 3838 4256 5656 6464 7676 8512 11312 13433 15352 22624 26866 30704 45248 53732 61408 107464 122816 127951 214928 255902 429856 511804 859712 895657 1023608 1791314 2047216 2431069 3582628 4094432 4862138 7165256 8188864 9724276 12923051 14330512 17017483 19448552 25846102 28661024 34034966 38897104 51692204 57322048 68069932 77794208 90461357 103384408 136139864 155588416 180922714 206768816 245537969 272279728 361845428 413537632 491075938 544559456 723690856 827075264 982151876 1089118912 1447381712 1718765783 1964303752 2894763424 3437531566 3928607504 5789526848 6875063132 7857215008 13750126264 15714430016 27500252528 55000505056 110001010112