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112512144 = 2433183911
BaseRepresentation
bin1101011010011…
…00110010010000
321211201012122110
412231030302100
5212300342034
615055305320
72534223513
oct655146220
9254635573
10112512144
1158568048
123181b240
131a404944
1410d2ad7a
159d26de9
hex6b4cc90

112512144 has 80 divisors (see below), whose sum is σ = 303980544. Its totient is φ = 35817600.

The previous prime is 112512139. The next prime is 112512151. The reversal of 112512144 is 441215211.

It is a self number, because there is not a number n which added to its sum of digits gives 112512144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123049 + ... + 123959.

Almost surely, 2112512144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112512144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151990272).

112512144 is an abundant number, since it is smaller than the sum of its proper divisors (191468400).

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

112512144 is a wasteful number, since it uses less digits than its factorization.

112512144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1030 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 112512144 is about 10607.1741759999. The cubic root of 112512144 is about 482.7620619046.

Adding to 112512144 its reverse (441215211), we get a palindrome (553727355).

The spelling of 112512144 in words is "one hundred twelve million, five hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 166 186 248 249 332 372 496 498 664 744 911 996 1328 1488 1822 1992 2573 2733 3644 3984 5146 5466 7288 7719 10292 10932 14576 15438 20584 21864 28241 30876 41168 43728 56482 61752 75613 84723 112964 123504 151226 169446 225928 226839 302452 338892 451856 453678 604904 677784 907356 1209808 1355568 1814712 2344003 3629424 4688006 7032009 9376012 14064018 18752024 28128036 37504048 56256072 112512144