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112141033024 = 26232512571181
BaseRepresentation
bin110100001110000100…
…0000101111001000000
3101201110022010201112111
41220130020011321000
53314131101024044
6123303351305104
711046650024146
oct1503410057100
9351408121474
10112141033024
1143616764999
121989797b194
13a761c53857
1455db6b1596
152db5067b34
hex1a1c205e40

112141033024 has 112 divisors (see below), whose sum is σ = 234235483776. Its totient is φ = 53166080000.

The previous prime is 112141033019. The next prime is 112141033061. The reversal of 112141033024 is 420330141211.

It is a super-2 number, since 2×1121410330242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112141032986 and 112141033004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94953714 + ... + 94954894.

It is an arithmetic number, because the mean of its divisors is an integer number (2091388248).

Almost surely, 2112141033024 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 112141033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117117741888).

112141033024 is an abundant number, since it is smaller than the sum of its proper divisors (122094450752).

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

112141033024 is a wasteful number, since it uses less digits than its factorization.

112141033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 112141033024 its reverse (420330141211), we get a palindrome (532471174235).

The spelling of 112141033024 in words is "one hundred twelve billion, one hundred forty-one million, thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 251 257 368 502 514 736 1004 1028 1181 1472 2008 2056 2362 4016 4112 4724 5773 5911 8032 8224 9448 11546 11822 16064 16448 18896 23092 23644 27163 37792 46184 47288 54326 64507 75584 92368 94576 108652 129014 184736 189152 217304 258028 296431 303517 369472 378304 434608 516056 592862 607034 869216 1032112 1185724 1214068 1483661 1738432 2064224 2371448 2428136 2967322 4128448 4742896 4856272 5934644 6817913 6980891 9485792 9712544 11869288 13635826 13961782 18971584 19425088 23738576 27271652 27923564 47477152 54543304 55847128 76182767 94954304 109086608 111694256 152365534 218173216 223388512 304731068 436346432 446777024 609462136 1218924272 1752203641 2437848544 3504407282 4875697088 7008814564 14017629128 28035258256 56070516512 112141033024