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112121112210212 = 22729311684164901
BaseRepresentation
bin11001011111100100111011…
…000100001010101100100100
3112200222200012002101101011102
4121133210323010022230210
5104143443014211211322
61034243421115455232
732421324453026450
oct3137447304125444
9480880162341142
10112121112210212
11327a8329940096
12106a99a5757518
134a73c8b287431
141d98995733660
15ce67da13e792
hex65f93b10ab24

112121112210212 has 96 divisors (see below), whose sum is σ = 232758219133440. Its totient is φ = 46238290560000.

The previous prime is 112121112210199. The next prime is 112121112210229. The reversal of 112121112210212 is 212012211121211.

It is a happy number.

It is a super-2 number, since 2×1121211122102122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727538962 + ... + 1727603862.

It is an arithmetic number, because the mean of its divisors is an integer number (2424564782640).

Almost surely, 2112121112210212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121112210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116379109566720).

112121112210212 is an abundant number, since it is smaller than the sum of its proper divisors (120637106923228).

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

112121112210212 is a wasteful number, since it uses less digits than its factorization.

112121112210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72093 (or 72091 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 112121112210212 its reverse (212012211121211), we get a palindrome (324133323331423).

The spelling of 112121112210212 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 29 58 116 203 311 406 622 812 1244 2177 4354 6841 8708 9019 13682 18038 27364 36076 47887 63133 64901 95774 126266 129802 191548 198389 252532 259604 396778 454307 793556 908614 1388723 1817228 1882129 2127551 2777446 3764258 4255102 5554892 7528516 8510204 13174903 14892857 20184211 26349806 29785714 40368422 52699612 59571428 61698979 80736844 123397958 141289477 246795916 282578954 431892853 443987741 565157908 585342119 863785706 887975482 1170684238 1727571412 1775950964 2341368476 3107914187 4097394833 6215828374 8194789666 12431656748 12875644489 16389579332 25751288978 51502577956 90129511423 138080187451 180259022846 276160374902 360518045692 552320749804 966561312157 1933122624314 3866245248628 4004325436079 8008650872158 16017301744316 28030278052553 56060556105106 112121112210212