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211122112212 = 2232112933794801
BaseRepresentation
bin1100010010011111011…
…0111100011011010100
3202011221110111112012100
43010213312330123110
511424334230042322
6240553235322100
721152542226064
oct3044766743324
9664843445170
10211122112212
1181599a23780
1234b00450330
1316ba762cc6b
14a30b29b3a4
155759ad4dac
hex3127dbc6d4

211122112212 has 144 divisors (see below), whose sum is σ = 585835548480. Its totient is φ = 63576576000.

The previous prime is 211122112199. The next prime is 211122112247. The reversal of 211122112212 is 212211221112.

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

It is a nude number because it is divisible by every one of its digits.

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, 43972212 + ... + 43977012.

It is an arithmetic number, because the mean of its divisors is an integer number (4068302420).

Almost surely, 2211122112212 is an apocalyptic number.

211122112212 is a gapful number since it is divisible by the number (22) 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 211122112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292917774240).

211122112212 is an abundant number, since it is smaller than the sum of its proper divisors (374713436268).

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

211122112212 is a wasteful number, since it uses less digits than its factorization.

211122112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5489 counting only the distinct ones).

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

Adding to 211122112212 its reverse (212211221112), we get a palindrome (423333333324).

The spelling of 211122112212 in words is "two hundred eleven billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 293 379 396 586 758 879 1137 1172 1516 1758 2274 2637 3223 3411 3516 4169 4548 4801 5274 6446 6822 8338 9602 9669 10548 12507 12892 13644 14403 16676 19204 19338 25014 28806 29007 37521 38676 43209 50028 52811 57612 58014 75042 86418 105622 111047 116028 150084 158433 172836 211244 222094 316866 333141 444188 475299 633732 666282 950598 999423 1221517 1332564 1406693 1819579 1901196 1998846 2443034 2813386 3639158 3664551 3997692 4220079 4886068 5458737 5626772 7278316 7329102 8440158 10917474 10993653 12660237 14658204 15473623 16376211 16880316 20015369 21834948 21987306 25320474 30947246 32752422 40030738 43974612 46420869 50640948 60046107 61894492 65504844 80061476 92841738 120092214 139262607 180138321 185683476 240184428 278525214 360276642 533136647 557050428 720553284 1066273294 1599409941 2132546588 3198819882 4798229823 5864503117 6397639764 9596459646 11729006234 17593509351 19192919292 23458012468 35187018702 52780528053 70374037404 105561056106 211122112212