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112101110223012 = 223223799471809683
BaseRepresentation
bin11001011111010010010010…
…110110101001000010100100
3112200220202120010010010222200
4121133102102312221002210
5104143131033204114022
61034230312235454500
732420016004655121
oct3137222266510244
9480822503103880
10112101110223012
113279a8a5284059
12106a5b42bb7430
134a72121365151
141d97a19091748
15ce601912ebac
hex65f492da90a4

112101110223012 has 144 divisors (see below), whose sum is σ = 299746213079040. Its totient is φ = 35252663269824.

The previous prime is 112101110222971. The next prime is 112101110223013. The reversal of 112101110223012 is 210322011101211.

It is a happy number.

It is a super-3 number, since 3×1121011102230123 (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112101110223013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61040323 + ... + 62850005.

It is an arithmetic number, because the mean of its divisors is an integer number (2081570924160).

Almost surely, 2112101110223012 is an apocalyptic number.

112101110223012 is a gapful number since it is divisible by the number (12) 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 112101110223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149873106539520).

112101110223012 is an abundant number, since it is smaller than the sum of its proper divisors (187645102856028).

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

112101110223012 is a wasteful number, since it uses less digits than its factorization.

112101110223012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810742 (or 1810737 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112101110223012 its reverse (210322011101211), we get a palindrome (322423121324223).

The spelling of 112101110223012 in words is "one hundred twelve trillion, one hundred one billion, one hundred ten million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 79 92 138 158 207 237 276 316 414 474 711 828 947 948 1422 1817 1894 2841 2844 3634 3788 5451 5682 7268 8523 10902 11364 16353 17046 21781 21804 32706 34092 43562 65343 65412 74813 87124 130686 149626 196029 224439 261372 299252 392058 448878 673317 784116 897756 1346634 1720699 1809683 2693268 3441398 3619366 5162097 5429049 6882796 7238732 10324194 10858098 15486291 16287147 20648388 21716196 30972582 32574294 41622709 61945164 65148588 83245418 124868127 142964957 166490836 249736254 285929914 374604381 428894871 499472508 571859828 749208762 857789742 1286684613 1498417524 1713769801 1715579484 2573369226 3288194011 3427539602 5141309403 5146738452 6576388022 6855079204 9864582033 10282618806 13152776044 15423928209 19729164066 20565237612 29593746099 30847856418 39416705423 39458328132 59187492198 61695712836 78833410846 118250116269 118374984396 135387814279 157666821692 236500232538 270775628558 354750348807 406163442837 473000465076 541551257116 709500697614 812326885674 1218490328511 1419001395228 1624653771348 2436980657022 3113919728417 4873961314044 6227839456834 9341759185251 12455678913668 18683518370502 28025277555753 37367036741004 56050555111506 112101110223012