Search a number
-
+
110110112212212 = 22337233016303211
BaseRepresentation
bin11001000010010100000010…
…000111111110010011110100
3112102212102110001002201201000
4121002110002013332103310
5103413021002211242322
61030103515350403300
732123123141054400
oct3102240207762364
9472772401081630
10110110112212212
11320a2488862a72
12104240b1960530
134959453ac9608
141d29501db4100
15cae33b5c33ac
hex6425021fe4f4

110110112212212 has 144 divisors (see below), whose sum is σ = 332178768143040. Its totient is φ = 31450496616000.

The previous prime is 110110112212187. The next prime is 110110112212229. The reversal of 110110112212212 is 212212211011011.

It is a happy number.

110110112212212 is a `hidden beast` number, since 110 + 110 + 1 + 1 + 221 + 221 + 2 = 666.

It is a super-2 number, since 2×1101101122122122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14317287 + ... + 20620497.

Almost surely, 2110110112212212 is an apocalyptic number.

110110112212212 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 110110112212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166089384071520).

110110112212212 is an abundant number, since it is smaller than the sum of its proper divisors (222068655930828).

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

110110112212212 is a wasteful number, since it uses less digits than its factorization.

110110112212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306539 (or 6306524 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110110112212212 its reverse (212212211011011), we get a palindrome (322322323223223).

The spelling of 110110112212212 in words is "one hundred ten trillion, one hundred ten billion, one hundred twelve million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 3301 5292 6602 9903 13204 19806 23107 29709 39612 46214 59418 69321 89127 92428 118836 138642 161749 178254 207963 277284 323498 356508 415926 485247 623889 646996 831852 970494 1247778 1455741 1940988 2495556 2911482 4367223 5822964 6303211 8734446 12606422 17468892 18909633 25212844 37819266 44122477 56728899 75638532 88244954 113457798 132367431 170186697 176489908 226915596 264734862 308857339 340373394 397102293 529469724 617714678 680746788 794204586 926572017 1191306879 1235429356 1588409172 1853144034 2382613758 2779716051 3706288068 4765227516 5559432102 8339148153 11118864204 16678296306 20806899511 33356592612 41613799022 62420698533 83227598044 124841397066 145648296577 187262095599 249682794132 291296593154 374524191198 436944889731 561786286797 582593186308 749048382396 873889779462 1019538076039 1123572573594 1310834669193 1747779558924 2039076152078 2247145147188 2621669338386 3058614228117 3932504007579 4078152304156 5243338676772 6117228456234 7865008015158 9175842684351 12234456912468 15730016030316 18351685368702 27527528053053 36703370737404 55055056106106 110110112212212