Search a number
-
+
112022030322 = 2334189751757
BaseRepresentation
bin110100001010100001…
…0001000011111110010
3101201011000012202112000
41220111002020133302
53313410114432242
6123243500514430
711044003355406
oct1502502103762
9351130182460
10112022030322
1143565574454
1219863b4ba16
13a7433b8857
1455c9975106
152da98aca4c
hex1a150887f2

112022030322 has 128 divisors (see below), whose sum is σ = 258559257600. Its totient is φ = 35925120000.

The previous prime is 112022030303. The next prime is 112022030387. The reversal of 112022030322 is 223030220211.

112022030322 is a `hidden beast` number, since 1 + 120 + 220 + 3 + 0 + 322 = 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 = 112022030295 and 112022030304.

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, 147981168 + ... + 147981924.

It is an arithmetic number, because the mean of its divisors is an integer number (2019994200).

Almost surely, 2112022030322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022030322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129279628800).

112022030322 is an abundant number, since it is smaller than the sum of its proper divisors (146537227278).

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

112022030322 is a wasteful number, since it uses less digits than its factorization.

112022030322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112022030322 its reverse (223030220211), we get a palindrome (335052250533).

The spelling of 112022030322 in words is "one hundred twelve billion, twenty-two million, thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 89 123 178 246 267 369 534 738 751 757 801 1107 1502 1514 1602 2214 2253 2271 2403 3649 4506 4542 4806 6759 6813 7298 10947 13518 13626 20277 20439 21894 30791 31037 32841 40554 40878 61582 62074 65682 66839 67373 92373 93111 98523 133678 134746 184746 186222 197046 200517 202119 277119 279333 401034 404238 554238 558666 568507 601551 606357 831357 837999 1137014 1203102 1212714 1662714 1675998 1705521 1804653 1819071 2740399 2762293 3411042 3609306 3638142 5116563 5480798 5524586 8221197 8286879 10233126 15349689 16442394 16573758 23308787 24663591 24860637 30699378 46617574 49327182 49721274 50597123 69926361 73990773 74581911 101194246 139852722 147981546 149163822 151791369 209779083 303582738 419558166 455374107 629337249 910748214 1258674498 1366122321 2074482043 2732244642 4148964086 6223446129 12446892258 18670338387 37340676774 56011015161 112022030322