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211120100112222 = 23273172011472209
BaseRepresentation
bin110000000000001100111010…
…100100100111011101011110
31000200111212212202211120112100
4300000030322210213131132
5210132442431112042342
62025003122435145530
762316631614564000
oct6000147244473536
91020455782746470
10211120100112222
11612a6593695154
121b8185a64452a6
1390a570354cba2
143a1c3a5922370
151961ab93c6e4c
hexc0033a92775e

211120100112222 has 96 divisors (see below), whose sum is σ = 564821396568000. Its totient is φ = 56771791598592.

The previous prime is 211120100112221. The next prime is 211120100112241. The reversal of 211120100112222 is 222211001021112.

211120100112222 is a `hidden beast` number, since 211 + 1 + 20 + 100 + 112 + 222 = 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 = 211120100112195 and 211120100112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120100112221) 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, 1005631147 + ... + 1005841062.

It is an arithmetic number, because the mean of its divisors is an integer number (5883556214250).

Almost surely, 2211120100112222 is an apocalyptic number.

211120100112222 is an abundant number, since it is smaller than the sum of its proper divisors (353701296455778).

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

211120100112222 is a wasteful number, since it uses less digits than its factorization.

211120100112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011472255 (or 2011472238 counting only the distinct ones).

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

Adding to 211120100112222 its reverse (222211001021112), we get a palindrome (433331101133334).

The spelling of 211120100112222 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 343 357 441 686 714 833 882 1029 1071 1666 2058 2142 2499 3087 4998 5831 6174 7497 11662 14994 17493 34986 52479 104958 2011472209 4022944418 6034416627 12068833254 14080305463 18103249881 28160610926 34195027553 36206499762 42240916389 68390055106 84481832778 98562138241 102585082659 126722749167 197124276482 205170165318 239365192871 253445498334 295686414723 307755247977 478730385742 591372829446 615510495954 689934967687 718095578613 887059244169 1379869935374 1436191157226 1675556350097 1774118488338 2069804903061 2154286735839 3351112700194 4139609806122 4308573471678 5026669050291 6209414709183 10053338100582 11728894450679 12418829418366 15080007150873 23457788901358 30160014301746 35186683352037 70373366704074 105560050056111 211120100112222