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112010220012210 = 235138926312270077
BaseRepresentation
bin11001011101111101101001…
…011000000000001010110010
3112200121001221211011001012220
4121131331221120000022302
5104140133412310342320
61034120441255101510
732410320445633602
oct3135755130001262
9480531854131186
10112010220012210
11327652a4107463
12106903b8071896
134a66697c96120
141d93475c64c02
15ce3999a5be40
hex65df696002b2

112010220012210 has 128 divisors (see below), whose sum is σ = 293869349706240. Its totient is φ = 27158291736576.

The previous prime is 112010220012179. The next prime is 112010220012211. The reversal of 112010220012210 is 12210022010211.

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 112010220012210.

It is not an unprimeable number, because it can be changed into a prime (112010220012211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2993692 + ... + 15263768.

It is an arithmetic number, because the mean of its divisors is an integer number (2295854294580).

Almost surely, 2112010220012210 is an apocalyptic number.

112010220012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112010220012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146934674853120).

112010220012210 is an abundant number, since it is smaller than the sum of its proper divisors (181859129694030).

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

112010220012210 is a wasteful number, since it uses less digits than its factorization.

112010220012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12270452.

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

Adding to 112010220012210 its reverse (12210022010211), we get a palindrome (124220242022421).

The spelling of 112010220012210 in words is "one hundred twelve trillion, ten billion, two hundred twenty million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 178 195 263 267 390 445 526 534 789 890 1157 1315 1335 1578 2314 2630 2670 3419 3471 3945 5785 6838 6942 7890 10257 11570 17095 17355 20514 23407 34190 34710 46814 51285 70221 102570 117035 140442 234070 304291 351105 608582 702210 912873 1521455 1825746 3042910 4564365 9128730 12270077 24540154 36810231 61350385 73620462 122700770 159511001 184051155 319022002 368102310 478533003 797555005 957066006 1092036853 1595110010 2184073706 2392665015 3227030251 3276110559 4785330030 5460184265 6454060502 6552221118 9681090753 10920368530 14196479089 16135151255 16380552795 19362181506 28392958178 32270302510 32761105590 41951393263 42589437267 48405453765 70982395445 83902786526 85178874534 96810907530 125854179789 141964790890 209756966315 212947186335 251708359578 287205692339 419513932630 425894372670 574411384678 629270898945 861617077017 1258541797890 1436028461695 1723234154034 2872056923390 3733674000407 4308085385085 7467348000814 8616170770170 11201022001221 18668370002035 22402044002442 37336740004070 56005110006105 112010220012210