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112122224032 = 2571354171171
BaseRepresentation
bin110100001101100000…
…0010101110110100000
3101201101222202010110011
41220123000111312200
53314111242132112
6123301440214304
711046331115350
oct1503300256640
9351358663404
10112122224032
1143607088475
121989160a394
13a75b099580
1455d8db6b60
152db359eaa7
hex1a1b015da0

112122224032 has 96 divisors (see below), whose sum is σ = 272186780544. Its totient is φ = 44273433600.

The previous prime is 112122224017. The next prime is 112122224057. The reversal of 112122224032 is 230422221211.

It is a junction number, because it is equal to n+sod(n) for n = 112122223994 and 112122224012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539807 + ... + 1610977.

It is an arithmetic number, because the mean of its divisors is an integer number (2835278964).

Almost surely, 2112122224032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112122224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136093390272).

112122224032 is an abundant number, since it is smaller than the sum of its proper divisors (160064556512).

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

112122224032 is a wasteful number, since it uses less digits than its factorization.

112122224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71742 (or 71734 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 112122224032 its reverse (230422221211), we get a palindrome (342544445243).

The spelling of 112122224032 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 541 728 1082 1456 2164 2912 3787 4328 7033 7574 8656 14066 15148 17312 28132 30296 49231 56264 60592 71171 98462 112528 121184 142342 196924 225056 284684 393848 498197 569368 787696 925223 996394 1138736 1575392 1850446 1992788 2277472 3700892 3985576 6476561 7401784 7971152 12953122 14803568 15942304 25906244 29607136 38503511 51812488 77007022 103624976 154014044 207249952 269524577 308028088 500545643 539049154 616056176 1001091286 1078098308 1232112352 2002182572 2156196616 3503819501 4004365144 4312393232 7007639002 8008730288 8624786464 14015278004 16017460576 28030556008 56061112016 112122224032