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110110121101220 = 225531249153154323
BaseRepresentation
bin11001000010010100000010…
…101001111000011110100100
3112102212102110122211100010112
4121002110002221320132210
5103413021012000214340
61030103520305112152
732123123306446022
oct3102240251703644
9472772418740115
10110110121101220
11320a2492884459
12104240b4928658
1349594558bc596
141d29503249712
15cae33c27c065
hex642502a787a4

110110121101220 has 96 divisors (see below), whose sum is σ = 235941083280000. Its totient is φ = 43149433466880.

The previous prime is 110110121101181. The next prime is 110110121101229. The reversal of 110110121101220 is 22101121011011.

It is a junction number, because it is equal to n+sod(n) for n = 110110121101195 and 110110121101204.

It is not an unprimeable number, because it can be changed into a prime (110110121101229) 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 31 ways as a sum of consecutive naturals, for example, 2026924979 + ... + 2026979301.

It is an arithmetic number, because the mean of its divisors is an integer number (2457719617500).

Almost surely, 2110110121101220 is an apocalyptic number.

110110121101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110121101220 is an abundant number, since it is smaller than the sum of its proper divisors (125830962178780).

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

110110121101220 is a wasteful number, since it uses less digits than its factorization.

110110121101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57165 (or 57163 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110110121101220 its reverse (22101121011011), we get a palindrome (132211242112231).

The spelling of 110110121101220 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1249 1531 2498 3062 4996 6124 6245 7655 12490 15310 24980 30620 54323 66197 81143 108646 132394 162286 217292 264788 271615 324572 330985 405715 543230 661970 811430 1086460 1323940 1622860 1912219 2879119 3824438 5758238 7648876 9561095 11516476 14395595 19122190 28791190 38244380 57582380 67849427 83168513 101347607 135698854 166337026 202695214 271397708 332674052 339247135 405390428 415842565 506738035 678494270 831685130 1013476070 1356988540 1663370260 2026952140 3596019631 4407931189 7192039262 8815862378 14384078524 17631724756 17980098155 22039655945 35960196310 44079311890 71920392620 88158623780 103877472737 207754945474 415509890948 519387363685 1038774727370 2077549454740 5505506055061 11011012110122 22022024220244 27527530275305 55055060550610 110110121101220