Search a number
-
+
112202221013322 = 2311433111123911311
BaseRepresentation
bin11001100000110000011101…
…100001101100100101001010
3112201021102112200220111002020
4121200300131201230211022
5104201310122034411242
61034344553322545310
732430225430340256
oct3140603541544512
9481242480814066
10112202221013322
1132829770724380
1210701660968236
134a7b816032a5b
141d9c88b85d266
15ce8985b326ec
hex660c1d86c94a

112202221013322 has 128 divisors (see below), whose sum is σ = 251348021084160. Its totient is φ = 33097303512000.

The previous prime is 112202221013291. The next prime is 112202221013357. The reversal of 112202221013322 is 223310122202211.

112202221013322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112202221013292 and 112202221013301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9919738047 + ... + 9919749357.

It is an arithmetic number, because the mean of its divisors is an integer number (1963656414720).

Almost surely, 2112202221013322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112202221013322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125674010542080).

112202221013322 is an abundant number, since it is smaller than the sum of its proper divisors (139145800070838).

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

112202221013322 is a wasteful number, since it uses less digits than its factorization.

112202221013322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22920.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 112202221013322 its reverse (223310122202211), we get a palindrome (335512343215533).

The spelling of 112202221013322 in words is "one hundred twelve trillion, two hundred two billion, two hundred twenty-one million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 311 473 622 933 946 1419 1866 2838 3421 6842 10263 11239 11311 13373 20526 22478 22622 26746 33717 33933 40119 67434 67866 80238 123629 124421 147103 247258 248842 294206 370887 373263 441309 483277 486373 741774 746526 882618 966554 972746 1449831 1459119 2899662 2918238 3495329 3517721 5316047 5350103 6990658 7035442 10485987 10553163 10632094 10700206 15948141 16050309 20971974 21106326 31896282 32100618 38448619 38694931 76897238 77389862 115345857 116084793 127124329 150299147 151262003 230691714 232169586 254248658 300598294 302524006 381372987 450897441 453786009 762745974 901794882 907572018 1398367619 1653290617 1663882033 2796735238 3306581234 3327764066 4195102857 4959871851 4991646099 5466346147 8390205714 9919743702 9983292198 10932692294 16399038441 32798076882 39535666319 60129807617 79071332638 118606998957 120259615234 180389422851 237213997914 360778845702 434892329509 869784659018 1304676988527 1700033651717 2609353977054 3400067303434 5100100955151 10200201910302 18700370168887 37400740337774 56101110506661 112202221013322