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112012223112 = 233410110691601
BaseRepresentation
bin110100001010001110…
…0101110001010001000
3101201010022202111120000
41220110130232022020
53313400112114422
6123242510403000
711043524121066
oct1502434561210
9351108674500
10112012223112
114355aa86119
1219860800460
13a74136397a
1455c8541036
152da8ac1cac
hex1a1472e288

112012223112 has 160 divisors (see below), whose sum is σ = 317338738200. Its totient is φ = 36910080000.

The previous prime is 112012223069. The next prime is 112012223129. The reversal of 112012223112 is 211322210211.

It can be written as a sum of positive squares in 4 ways, for example, as 105057663876 + 6954559236 = 324126^2 + 83394^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69963112 + ... + 69964712.

Almost surely, 2112012223112 is an apocalyptic number.

112012223112 is a gapful number since it is divisible by the number (12) 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 112012223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158669369100).

112012223112 is an abundant number, since it is smaller than the sum of its proper divisors (205326515088).

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

112012223112 is a wasteful number, since it uses less digits than its factorization.

112012223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112012223112 its reverse (211322210211), we get a palindrome (323334433323).

The spelling of 112012223112 in words is "one hundred twelve billion, twelve million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 303 324 404 606 648 808 909 1069 1212 1601 1818 2138 2424 2727 3202 3207 3636 4276 4803 5454 6404 6414 7272 8181 8552 9606 9621 10908 12808 12828 14409 16362 19212 19242 21816 25656 28818 28863 32724 38424 38484 43227 57636 57726 65448 76968 86454 86589 107969 115272 115452 129681 161701 172908 173178 215938 230904 259362 323402 323907 345816 346356 431876 485103 518724 646804 647814 692712 863752 970206 971721 1037448 1293608 1295628 1455309 1711469 1940412 1943442 2591256 2910618 2915163 3422938 3880824 3886884 4365927 5134407 5821236 5830326 6845876 7773768 8731854 8745489 10268814 11642472 11660652 13097781 13691752 15403221 17463708 17490978 20537628 23321304 26195562 30806442 34927416 34981956 41075256 46209663 52391124 61612884 69963912 92419326 104782248 123225768 138628989 172858369 184838652 277257978 345716738 369677304 518575107 554515956 691433476 1037150214 1109031912 1382866952 1555725321 2074300428 3111450642 4148600856 4667175963 6222901284 9334351926 12445802568 14001527889 18668703852 28003055778 37337407704 56006111556 112012223112