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221211011112 = 233713372737489
BaseRepresentation
bin1100111000000100110…
…1000010100000101000
3210010222120112200200120
43032001031002200220
512111020004323422
6245342315403240
721660546366360
oct3160115024050
9703876480616
10221211011112
11858a6937853
1236a57153520
1317b24875120
14a9c71619a0
155b4a6a345c
hex3381342828

221211011112 has 128 divisors (see below), whose sum is σ = 699045446400. Its totient is φ = 56764551168.

The previous prime is 221211011107. The next prime is 221211011141. The reversal of 221211011112 is 211110112122.

It is a happy number.

It is a super-2 number, since 2×2212110111122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221211011091 and 221211011100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287937 + ... + 1449552.

It is an arithmetic number, because the mean of its divisors is an integer number (5461292550).

Almost surely, 2221211011112 is an apocalyptic number.

It is an amenable number.

221211011112 is an abundant number, since it is smaller than the sum of its proper divisors (477834435288).

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

221211011112 is a wasteful number, since it uses less digits than its factorization.

221211011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737555 (or 2737551 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221211011112 its reverse (211110112122), we get a palindrome (432321123234).

It can be divided in two parts, 2212110 and 11112, that added together give a palindrome (2223222).

The spelling of 221211011112 in words is "two hundred twenty-one billion, two hundred eleven million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1443 1554 1924 2072 2184 2886 3108 3367 3848 5772 6216 6734 10101 11544 13468 20202 26936 40404 80808 2737489 5474978 8212467 10949956 16424934 19162423 21899912 32849868 35587357 38324846 57487269 65699736 71174714 76649692 101287093 106762071 114974538 142349428 153299384 202574186 213524142 229949076 249111499 284698856 303861279 405148372 427048284 459898152 498222998 607722558 709009651 747334497 810296744 854096568 996445996 1215445116 1316732209 1418019302 1494668994 1992891992 2127028953 2430890232 2633464418 2836038604 2989337988 3950196627 4254057906 5266928836 5672077208 5978675976 7900393254 8508115812 9217125463 10533857672 15800786508 17016231624 18434250926 27651376389 31601573016 36868501852 55302752778 73737003704 110605505556 221211011112