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112052205522 = 23461106310667
BaseRepresentation
bin110100001011011010…
…1001111011111010010
3101201020002222211010000
41220112311033133102
53313440331034042
6123250455350430
711044521013635
oct1502665173722
9351202884100
10112052205522
1143580604534
1219872082416
13a7497224ba
1455cd98bc1c
152dac36d74c
hex1a16d4f7d2

112052205522 has 80 divisors (see below), whose sum is σ = 255460024512. Its totient is φ = 36700426080.

The previous prime is 112052205497. The next prime is 112052205523. The reversal of 112052205522 is 225502250211.

It is a happy number.

112052205522 is a `hidden beast` number, since 112 + 0 + 5 + 2 + 20 + 5 + 522 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112052205523) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10499233 + ... + 10509899.

Almost surely, 2112052205522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112052205522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127730012256).

112052205522 is an abundant number, since it is smaller than the sum of its proper divisors (143407818990).

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

112052205522 is a wasteful number, since it uses less digits than its factorization.

112052205522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11805 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 112052205522 its reverse (225502250211), we get a palindrome (337554455733).

The spelling of 112052205522 in words is "one hundred twelve billion, fifty-two million, two hundred five thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1063 1098 1647 2126 3189 3294 4941 6378 9567 9882 10667 19134 21334 28701 32001 57402 64002 64843 86103 96003 129686 172206 192006 194529 288009 389058 576018 583587 650687 864027 1167174 1301374 1728054 1750761 1952061 3501522 3904122 5252283 5856183 10504566 11339021 11712366 17568549 22678042 34017063 35137098 52705647 68034126 102051189 105411294 204102378 306153567 612307134 691680281 918460701 1383360562 1836921402 2075040843 4150081686 6225122529 12450245058 18675367587 37350735174 56026102761 112052205522