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112123220 = 225111274013
BaseRepresentation
bin1101010111011…
…01110101010100
321210222110010212
412223231311110
5212200420340
615043104552
72531013566
oct653556524
9253873125
10112123220
1158321920
1231672158
131a2c9901
1410c69336
159c9ba65
hex6aedd54

112123220 has 48 divisors (see below), whose sum is σ = 258951168. Its totient is φ = 40440960.

The previous prime is 112123213. The next prime is 112123223. The reversal of 112123220 is 22321211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112123195 and 112123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112123223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25934 + ... + 29946.

It is an arithmetic number, because the mean of its divisors is an integer number (5394816).

Almost surely, 2112123220 is an apocalyptic number.

112123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129475584).

112123220 is an abundant number, since it is smaller than the sum of its proper divisors (146827948).

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

112123220 is a wasteful number, since it uses less digits than its factorization.

112123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 112123220 is about 10588.8252417348. The cubic root of 112123220 is about 482.2051605058.

Adding to 112123220 its reverse (22321211), we get a palindrome (134444431).

The spelling of 112123220 in words is "one hundred twelve million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 4013 5588 6985 8026 13970 16052 20065 27940 40130 44143 80260 88286 176572 220715 441430 509651 882860 1019302 2038604 2548255 5096510 5606161 10193020 11212322 22424644 28030805 56061610 112123220