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11310003122022 = 232112157166319889
BaseRepresentation
bin1010010010010101000010…
…1101111110111101100110
31111001020002120012221210100
42210211100231332331212
52440300341244401042
640015424350204530
72245056264223023
oct244452055767546
944036076187710
1011310003122022
1136705aaa02900
121327b551b3746
136406b4794177
142b159b01054a
151492ec14124c
hexa4950b7ef66

11310003122022 has 144 divisors (see below), whose sum is σ = 27124481180160. Its totient is φ = 3403225013760.

The previous prime is 11310003121973. The next prime is 11310003122029. The reversal of 11310003122022 is 22022130001311.

11310003122022 is a `hidden beast` number, since 1 + 1 + 310 + 0 + 0 + 312 + 20 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11310003121986 and 11310003122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310003122029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 568646254 + ... + 568666142.

It is an arithmetic number, because the mean of its divisors is an integer number (188364452640).

Almost surely, 211310003122022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310003122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562240590080).

11310003122022 is an abundant number, since it is smaller than the sum of its proper divisors (15814478058138).

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

11310003122022 is a wasteful number, since it uses less digits than its factorization.

11310003122022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21739 (or 21725 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11310003122022 its reverse (22022130001311), we get a palindrome (33332133123333).

The spelling of 11310003122022 in words is "eleven trillion, three hundred ten billion, three million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 157 198 242 314 363 471 726 942 1089 1413 1663 1727 2178 2826 3326 3454 4989 5181 9978 10362 14967 15543 18293 18997 19889 29934 31086 36586 37994 39778 54879 56991 59667 109758 113982 119334 164637 170973 179001 201223 218779 261091 329274 341946 358002 402446 437558 522182 603669 656337 783273 1207338 1312674 1566546 1811007 1969011 2349819 2406569 2872001 3122573 3622014 3938022 4699638 4813138 5744002 6245146 7219707 8616003 9367719 14439414 17232006 18735438 21659121 25848009 28103157 31592011 33075407 34348303 43318242 51696018 56206314 63184022 66150814 68696606 94776033 99226221 103044909 189552066 198452442 206089818 284328099 297678663 309134727 363829477 377831333 568656198 595357326 618269454 727658954 755662666 1091488431 1133493999 2182976862 2266987998 3274465293 3400481997 4002124247 5192838899 6548930586 6800963994 8004248494 10385677798 12006372741 15578516697 24012745482 31157033394 36019118223 46735550091 57121227889 72038236446 93471100182 114242455778 171363683667 342727367334 514091051001 628333506779 1028182102002 1256667013558 1885000520337 3770001040674 5655001561011 11310003122022