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112300122 = 231123292551
BaseRepresentation
bin1101011000110…
…01000001011010
321211022102210210
412230121001122
5212222100442
615050551550
72532351414
oct654310132
9254272723
10112300122
1158432820
12317385b6
131a35c29c
1410cb39b4
159cd419c
hex6b1905a

112300122 has 64 divisors (see below), whose sum is σ = 264591360. Its totient is φ = 31416000.

The previous prime is 112300121. The next prime is 112300157. The reversal of 112300122 is 221003211.

It is a super-2 number, since 2×1123001222 = 25222634802429768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112300098 and 112300107.

It is not an unprimeable number, because it can be changed into a prime (112300121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42747 + ... + 45297.

It is an arithmetic number, because the mean of its divisors is an integer number (4134240).

Almost surely, 2112300122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112300122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132295680).

112300122 is an abundant number, since it is smaller than the sum of its proper divisors (152291238).

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

112300122 is a wasteful number, since it uses less digits than its factorization.

112300122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112300122 is about 10597.1751896437. The cubic root of 112300122 is about 482.4586263932.

Adding to 112300122 its reverse (221003211), we get a palindrome (333303333).

The spelling of 112300122 in words is "one hundred twelve million, three hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 29 33 46 58 66 69 87 138 174 253 319 506 638 667 759 957 1334 1518 1914 2001 2551 4002 5102 7337 7653 14674 15306 22011 28061 44022 56122 58673 73979 84183 117346 147958 168366 176019 221937 352038 443874 645403 813769 1290806 1627538 1701517 1936209 2441307 3403034 3872418 4882614 5104551 10209102 18716687 37433374 56150061 112300122