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112011220200120 = 23357125303519577
BaseRepresentation
bin11001011101111110100100…
…111111011010101010111000
3112200121011112112011212002120
4121131332210333122222320
5104140142434332400440
61034121124424401240
732410354312246413
oct3135764477325270
9480534475155076
10112011220200120
113276576774943a
1210690637016220
134a667c726a9a7
141d9352ca20b7a
15ce3a07778dd0
hex65dfa4fdaab8

112011220200120 has 128 divisors (see below), whose sum is σ = 340780652375040. Its totient is φ = 29447738772480.

The previous prime is 112011220200119. The next prime is 112011220200137. The reversal of 112011220200120 is 21002022110211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112011220200120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215321772 + ... + 215841348.

It is an arithmetic number, because the mean of its divisors is an integer number (2662348846680).

Almost surely, 2112011220200120 is an apocalyptic number.

112011220200120 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 112011220200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170390326187520).

112011220200120 is an abundant number, since it is smaller than the sum of its proper divisors (228769432174920).

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

112011220200120 is a wasteful number, since it uses less digits than its factorization.

112011220200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544965 (or 544961 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112011220200120 its reverse (21002022110211), we get a palindrome (133013242310331).

The spelling of 112011220200120 in words is "one hundred twelve trillion, eleven billion, two hundred twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 25303 50606 75909 101212 126515 151818 202424 253030 303636 379545 506060 519577 607272 759090 1012120 1039154 1518180 1558731 1796513 2078308 2597885 3036360 3117462 3593026 4156616 5195770 5389539 6234924 7186052 7793655 8982565 10391540 10779078 12469848 14372104 15587310 17965130 20783080 21558156 26947695 31174620 35930260 36889967 43116312 53895390 62349240 71860520 73779934 107790780 110669901 147559868 184449835 215581560 221339802 295119736 368899670 442679604 553349505 737799340 885359208 1106699010 1475598680 2213398020 4426796040 13146856831 26293713662 39440570493 52587427324 65734284155 78881140986 105174854648 131468568310 157762281972 197202852465 262937136620 315524563944 394405704930 525874273240 788811409860 933426835001 1577622819720 1866853670002 2800280505003 3733707340004 4667134175005 5600561010006 7467414680008 9334268350010 11201122020012 14001402525015 18668536700020 22402244040024 28002805050030 37337073400040 56005610100060 112011220200120