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112321123020 = 2232543103140891
BaseRepresentation
bin110100010011011011…
…1000101001011001100
3101201220212000020120100
41220212313011023030
53320013201414040
6123333303251100
711054264535651
oct1504667051314
9351825006510
10112321123020
11436a93891a7
1219928149a90
13a790359692
14561758dc28
152dc5c8cb30
hex1a26dc52cc

112321123020 has 144 divisors (see below), whose sum is σ = 352018098432. Its totient is φ = 28971492480.

The previous prime is 112321123009. The next prime is 112321123021. The reversal of 112321123020 is 20321123211.

112321123020 is a `hidden beast` number, since 112 + 321 + 1 + 230 + 2 + 0 = 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 = 112321122984 and 112321123002.

It is not an unprimeable number, because it can be changed into a prime (112321123021) 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, 726775 + ... + 867665.

It is an arithmetic number, because the mean of its divisors is an integer number (2444570128).

Almost surely, 2112321123020 is an apocalyptic number.

112321123020 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 112321123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176009049216).

112321123020 is an abundant number, since it is smaller than the sum of its proper divisors (239696975412).

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

112321123020 is a wasteful number, since it uses less digits than its factorization.

112321123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141052 (or 141047 counting only the distinct ones).

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

Adding to 112321123020 its reverse (20321123211), we get a palindrome (132642246231).

The spelling of 112321123020 in words is "one hundred twelve billion, three hundred twenty-one million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 103 129 172 180 206 215 258 309 387 412 430 515 516 618 645 774 860 927 1030 1236 1290 1545 1548 1854 1935 2060 2580 3090 3708 3870 4429 4635 6180 7740 8858 9270 13287 17716 18540 22145 26574 39861 44290 53148 66435 79722 88580 132870 140891 159444 199305 265740 281782 398610 422673 563564 704455 797220 845346 1268019 1408910 1690692 2113365 2536038 2817820 4226730 5072076 6058313 6340095 8453460 12116626 12680190 14511773 18174939 24233252 25360380 29023546 30291565 36349878 43535319 54524817 58047092 60583130 72558865 72699756 87070638 90874695 109049634 121166260 130605957 145117730 174141276 181749390 217676595 218099268 261211914 272624085 290235460 363498780 435353190 522423828 545248170 624006239 653029785 870706380 1090496340 1248012478 1306059570 1872018717 2496024956 2612119140 3120031195 3744037434 5616056151 6240062390 7488074868 9360093585 11232112302 12480124780 18720187170 22464224604 28080280755 37440374340 56160561510 112321123020