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112106022 = 23723671039
BaseRepresentation
bin1101010111010…
…01101000100110
321210221120112220
412223221220212
5212144343042
615042453210
72530612500
oct653515046
9253846486
10112106022
115830aa06
1231664206
131a2c1b32
1410c62d70
159c968ec
hex6ae9a26

112106022 has 48 divisors (see below), whose sum is σ = 261780480. Its totient is φ = 31912272.

The previous prime is 112106017. The next prime is 112106047. The reversal of 112106022 is 220601211.

It is a junction number, because it is equal to n+sod(n) for n = 112105992 and 112106010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107379 + ... + 108417.

It is an arithmetic number, because the mean of its divisors is an integer number (5453760).

Almost surely, 2112106022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112106022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130890240).

112106022 is an abundant number, since it is smaller than the sum of its proper divisors (149674458).

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

112106022 is a wasteful number, since it uses less digits than its factorization.

112106022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 112106022 is about 10588.0131280614. The cubic root of 112106022 is about 482.1805049278.

Adding to 112106022 its reverse (220601211), we get a palindrome (332707233).

The spelling of 112106022 in words is "one hundred twelve million, one hundred six thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 367 734 1039 1101 2078 2202 2569 3117 5138 6234 7273 7707 14546 15414 17983 21819 35966 43638 50911 53949 101822 107898 152733 305466 381313 762626 1143939 2287878 2669191 5338382 8007573 16015146 18684337 37368674 56053011 112106022