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112412142 = 23237612767
BaseRepresentation
bin1101011001101…
…00010111101110
321211112010110200
412230310113232
5212234142032
615053214330
72533326123
oct654642756
9254463420
10112412142
11584a99a7
12317913a6
131a39b27b
1410d0274a
159d0747c
hex6b345ee

112412142 has 48 divisors (see below), whose sum is σ = 254334912. Its totient is φ = 35847360.

The previous prime is 112412137. The next prime is 112412161. The reversal of 112412142 is 241214211.

112412142 is a `hidden beast` number, since 112 + 412 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 39243 + ... + 42009.

It is an arithmetic number, because the mean of its divisors is an integer number (5298644).

Almost surely, 2112412142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112412142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127167456).

112412142 is an abundant number, since it is smaller than the sum of its proper divisors (141922770).

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

112412142 is a wasteful number, since it uses less digits than its factorization.

112412142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2870 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 112412142 is about 10602.4592430247. The cubic root of 112412142 is about 482.6189914764.

Adding to 112412142 its reverse (241214211), we get a palindrome (353626353).

It can be divided in two parts, 11 and 2412142, that multiplied together give a palindrome (26533562).

The spelling of 112412142 in words is "one hundred twelve million, four hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 183 222 333 366 549 666 1098 2257 2767 4514 5534 6771 8301 13542 16602 20313 24903 40626 49806 102379 168787 204758 307137 337574 506361 614274 921411 1012722 1519083 1842822 3038166 6245119 12490238 18735357 37470714 56206071 112412142