Search a number
-
+
110211220201122 = 236193340799587
BaseRepresentation
bin11001000011110010001100…
…101000010101111010100010
3112110020002102102121202000000
4121003302030220111322202
5103421200034332413442
61030222200253440430
732133332530561305
oct3103621450257242
9473202372552000
10110211220201122
113213135266a587
121043b80a7a0116
134965b480260a1
141d30374252b3c
15cb1ca7c20d4c
hex643c8ca15ea2

110211220201122 has 112 divisors (see below), whose sum is σ = 248076756397440. Its totient is φ = 36705237410016.

The previous prime is 110211220201039. The next prime is 110211220201211. The reversal of 110211220201122 is 221102022112011.

110211220201122 is a `hidden beast` number, since 1 + 10 + 211 + 220 + 201 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110211220201095 and 110211220201104.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11495898013 + ... + 11495907599.

Almost surely, 2110211220201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110211220201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124038378198720).

110211220201122 is an abundant number, since it is smaller than the sum of its proper divisors (137865536196318).

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

110211220201122 is an equidigital number, since it uses as much as digits as its factorization.

110211220201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15619 (or 15604 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110211220201122 its reverse (221102022112011), we get a palindrome (331313242313133).

The spelling of 110211220201122 in words is "one hundred ten trillion, two hundred eleven billion, two hundred twenty million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1933 3866 4079 5799 8158 9587 11598 12237 17397 19174 24474 28761 34794 36711 52191 57522 73422 86283 104382 110133 156573 172566 220266 258849 313146 330399 469719 517698 660798 776547 939438 991197 1409157 1553094 1982394 2329641 2818314 2973591 4659282 5947182 6988923 7884707 13977846 15769414 18531671 23654121 37063342 39105373 47308242 55595013 70962363 78210746 111190026 117316119 141924726 166785039 212887089 234632238 333570078 351948357 425774178 500355117 638661267 703896714 1000710234 1055845071 1277322534 1501065351 1915983801 2111690142 3002130702 3167535213 3831967602 4503196053 5747951403 6335070426 9006392106 9502605639 11495902806 13509588159 19005211278 27019176318 28507816917 57015633834 75590686009 151181372018 226772058027 453544116054 680316174081 1360632348162 2040948522243 4081897044486 6122845566729 12245691133458 18368536700187 36737073400374 55105610100561 110211220201122