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112020101021100 = 223521016136031049
BaseRepresentation
bin11001011110000110110110…
…010101000011110110101100
3112200122000110110000022020010
4121132012312111003312230
5104140314131330133400
61034125153551253220
732411120350055646
oct3136066625036654
9480560413008203
10112020101021100
1132769504739708
12106922b521a210
134a675b112094c
141d93b32291896
15ce3d77263450
hex65e1b6543dac

112020101021100 has 144 divisors (see below), whose sum is σ = 327854536279200. Its totient is φ = 29528011008000.

The previous prime is 112020101021047. The next prime is 112020101021131. The reversal of 112020101021100 is 1120101020211.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 15558376 + ... + 21589424.

It is an arithmetic number, because the mean of its divisors is an integer number (2276767613050).

Almost surely, 2112020101021100 is an apocalyptic number.

112020101021100 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 112020101021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163927268139600).

112020101021100 is an abundant number, since it is smaller than the sum of its proper divisors (215834435258100).

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

112020101021100 is a wasteful number, since it uses less digits than its factorization.

112020101021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031780 (or 6031773 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112020101021100 its reverse (1120101020211), we get a palindrome (113140202041311).

The spelling of 112020101021100 in words is "one hundred twelve trillion, twenty billion, one hundred one million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 613 1010 1212 1226 1515 1839 2020 2452 2525 3030 3065 3678 5050 6060 6130 7356 7575 9195 10100 12260 15150 15325 18390 30300 30650 36780 45975 61300 61913 91950 123826 183900 185739 247652 309565 371478 619130 742956 928695 1238260 1547825 1857390 3095650 3714780 4643475 6031049 6191300 9286950 12062098 18093147 18573900 24124196 30155245 36186294 60310490 72372588 90465735 120620980 150776225 180931470 301552450 361862940 452328675 603104900 609135949 904657350 1218271898 1809314700 1827407847 2436543796 3045679745 3654815694 3697033037 6091359490 7309631388 7394066074 9137039235 11091099111 12182718980 14788132148 15228398725 18274078470 18485165185 22182198222 30456797450 36548156940 36970330370 44364396444 45685196175 55455495555 60913594900 73940660740 91370392350 92425825925 110910991110 182740784700 184851651850 221821982220 277277477775 369703303700 373400336737 554554955550 746800673474 1109109911100 1120201010211 1493601346948 1867001683685 2240402020422 3734003367370 4480804040844 5601005051055 7468006734740 9335008418425 11202010102110 18670016836850 22404020204220 28005025255275 37340033673700 56010050510550 112020101021100