Search a number
-
+
110021111122110 = 23559683500918169
BaseRepresentation
bin11001000001000001001001…
…001111110000100010111110
3112102112220201101211220100120
4121001001021033300202332
5103410041213421401420
61025555000052235410
732113522461221526
oct3101011117604276
9472486641756316
10110021111122110
1132068766a90751
121040a9b360bb66
134950c3bc222a6
141d2509ba1c686
15cabd7ccaed40
hex6410493f08be

110021111122110 has 128 divisors (see below), whose sum is σ = 268987749696000. Its totient is φ = 28792130138112.

The previous prime is 110021111122037. The next prime is 110021111122129. The reversal of 110021111122110 is 11221111120011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110021111122110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6055421106 + ... + 6055439274.

It is an arithmetic number, because the mean of its divisors is an integer number (2101466794500).

Almost surely, 2110021111122110 is an apocalyptic number.

110021111122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110021111122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134493874848000).

110021111122110 is an abundant number, since it is smaller than the sum of its proper divisors (158966638573890).

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

110021111122110 is a wasteful number, since it uses less digits than its factorization.

110021111122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23930.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110021111122110 its reverse (11221111120011), we get a palindrome (121242222242121).

The spelling of 110021111122110 in words is "one hundred ten trillion, twenty-one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 683 885 1366 1770 2049 3415 4098 5009 6830 10018 10245 15027 18169 20490 25045 30054 36338 40297 50090 54507 75135 80594 90845 109014 120891 150270 181690 201485 241782 272535 295531 402970 545070 591062 604455 886593 1071971 1208910 1477655 1773186 2143942 2955310 3215913 3421147 4432965 5359855 6431826 6842294 8865930 10263441 10719710 12409427 16079565 17105735 20526882 24818854 32159130 34211470 37228281 51317205 62047135 74456562 91008521 102634410 124094270 182017042 186141405 201847673 273025563 372282810 403695346 455042605 546051126 605543019 732156193 910085210 1009238365 1211086038 1365127815 1464312386 2018476730 2196468579 2730255630 3027715095 3660780965 4392937158 5369502739 6055430190 7321561930 10739005478 10982342895 16108508217 21964685790 26847513695 32217016434 53695027390 62158819843 80542541085 124317639686 161085082170 186476459529 310794099215 372952919058 621588198430 932382297645 1864764595290 3667370370737 7334740741474 11002111112211 18336851853685 22004222224422 36673703707370 55010555561055 110021111122110