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220200210112212 = 2232111929399885241
BaseRepresentation
bin110010000100010101011011…
…010011011001111011010100
31001212122221020020202001111100
4302010111123103121323110
5212330230012242042322
62100154325141110100
764244640324245451
oct6204253323317324
91055587206661440
10220200210112212
1164187426000a40
12208443389b8330
1395b3a38279a25
143c53a65c18828
151a6cda5a4edac
hexc8455b4d9ed4

220200210112212 has 144 divisors (see below), whose sum is σ = 641359143472320. Its totient is φ = 62999618572800.

The previous prime is 220200210112199. The next prime is 220200210112219. The reversal of 220200210112212 is 212211012002022.

It is a happy number.

220200210112212 is a `hidden beast` number, since 2 + 20 + 200 + 210 + 11 + 221 + 2 = 666.

220200210112212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2202002101122123 (a number of 44 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (220200210112219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47738089 + ... + 52147152.

It is an arithmetic number, because the mean of its divisors is an integer number (4453882940780).

Almost surely, 2220200210112212 is an apocalyptic number.

220200210112212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220200210112212 is an abundant number, since it is smaller than the sum of its proper divisors (421158933360108).

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

220200210112212 is a wasteful number, since it uses less digits than its factorization.

220200210112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99885574 (or 99885569 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220200210112212 its reverse (212211012002022), we get a palindrome (432411222114234).

The spelling of 220200210112212 in words is "two hundred twenty trillion, two hundred billion, two hundred ten million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 293 342 396 418 586 627 684 836 879 1172 1254 1758 1881 2508 2637 3223 3516 3762 5274 5567 6446 7524 9669 10548 11134 12892 16701 19338 22268 29007 33402 38676 50103 58014 61237 66804 100206 116028 122474 183711 200412 244948 367422 551133 734844 1102266 2204532 99885241 199770482 299655723 399540964 599311446 898967169 1098737651 1198622892 1797934338 1897819579 2197475302 3296212953 3595868676 3795639158 4394950604 5693458737 6592425906 7591278316 9888638859 11386917474 13184851812 17080376211 19777277718 20876015369 22773834948 29266375613 34160752422 39554555436 41752030738 58532751226 62628046107 68321504844 83504061476 87799126839 117065502452 125256092214 175598253678 187884138321 250512184428 263397380517 321930131743 351196507356 375768276642 526794761034 556061136647 643860263486 751536553284 965790395229 1053589522068 1112122273294 1287720526972 1668183409941 1931580790458 2224244546588 2897371185687 3336366819882 3863161580916 5004550229823 5794742371374 6116672503117 6672733639764 10009100459646 11589484742748 12233345006234 18350017509351 20018200919292 24466690012468 36700035018702 55050052528053 73400070037404 110100105056106 220200210112212