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112101321220300 = 225217294589349547
BaseRepresentation
bin11001011111010010011111…
…011011100010000011001100
3112200220210002211010220212001
4121133102133123202003030
5104143132001213022200
61034230345214122044
732420024146264426
oct3137223733420314
9480823084126761
10112101321220300
113279a9a3398485
12106a5ba17b0324
134a72155c9cc09
141d97a390d7816
15ce602c90c76a
hex65f49f6e20cc

112101321220300 has 144 divisors (see below), whose sum is σ = 266462153768160. Its totient is φ = 40745869373440.

The previous prime is 112101321220267. The next prime is 112101321220313. The reversal of 112101321220300 is 3022123101211.

It is a super-2 number, since 2×1121013212203002 (a number of 29 digits) contains 22 as substring.

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, 2262500127 + ... + 2262549673.

It is an arithmetic number, because the mean of its divisors is an integer number (1850431623390).

Almost surely, 2112101321220300 is an apocalyptic number.

112101321220300 is a gapful number since it is divisible by the number (10) 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 112101321220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133231076884080).

112101321220300 is an abundant number, since it is smaller than the sum of its proper divisors (154360832547860).

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

112101321220300 is a wasteful number, since it uses less digits than its factorization.

112101321220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95500 (or 95493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 112101321220300 its reverse (3022123101211), we get a palindrome (115123444321511).

The spelling of 112101321220300 in words is "one hundred twelve trillion, one hundred one billion, three hundred twenty-one million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 12325 24650 45893 49300 49547 91786 99094 183572 198188 229465 247735 458930 495470 780181 842299 917860 990940 1147325 1238675 1330897 1436863 1560362 1684598 2294650 2477350 2661794 2873726 3120724 3369196 3900905 4211495 4589300 4954700 5323588 5747452 6654485 7184315 7801810 8422990 13308970 14368630 15603620 16845980 19504525 21057475 22625249 24426671 26617940 28737260 33272425 35921575 39009050 42114950 45250498 48853342 66544850 71843150 78018100 84229900 90500996 97706684 113126245 122133355 133089700 143686300 226252490 244266710 452504980 488533420 565631225 610666775 1131262450 1221333550 2262524900 2273860471 2442667100 4547720942 9095441884 11369302355 22738604710 38655628007 45477209420 56846511775 65941953659 77311256014 113693023550 131883907318 154622512028 193278140035 227386047100 263767814636 329709768295 386556280070 659419536590 773112560140 966390700175 1121013212203 1318839073180 1648548841475 1932781400350 2242026424406 3297097682950 3865562800700 4484052848812 5605066061015 6594195365900 11210132122030 22420264244060 28025330305075 56050660610150 112101321220300