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112361022 = 232192911329
BaseRepresentation
bin1101011001001…
…11111000111110
321211102112100100
412230213320332
5212231023042
615052141530
72533024104
oct654477076
9254375310
10112361022
1158474554
12317678a6
131a380c17
1410ccbc74
159ce724c
hex6b27e3e

112361022 has 48 divisors (see below), whose sum is σ = 265122000. Its totient is φ = 34255872.

The previous prime is 112360991. The next prime is 112361023. The reversal of 112361022 is 220163211.

112361022 is a `hidden beast` number, since 11 + 23 + 610 + 22 = 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 = 112360986 and 112361004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112361023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4254 + ... + 15582.

It is an arithmetic number, because the mean of its divisors is an integer number (5523375).

Almost surely, 2112361022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112361022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132561000).

112361022 is an abundant number, since it is smaller than the sum of its proper divisors (152760978).

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

112361022 is a wasteful number, since it uses less digits than its factorization.

112361022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385 (or 11382 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 112361022 is about 10600.0482074375. The cubic root of 112361022 is about 482.5458225607.

The spelling of 112361022 in words is "one hundred twelve million, three hundred sixty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4959 9918 11329 22658 33987 67974 101961 203922 215251 328541 430502 645753 657082 985623 1291506 1937259 1971246 2956869 3874518 5913738 6242279 12484558 18726837 37453674 56180511 112361022