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112001712 = 24317294733
BaseRepresentation
bin1101010110100…
…00001010110000
321210202021110120
412223100022300
5212133023322
615040330240
72526666414
oct653201260
9253667416
10112001712
11582495a9
1231613980
131a286504
1410c36d44
159c75a5c
hex6ad02b0

112001712 has 80 divisors (see below), whose sum is σ = 316988640. Its totient is φ = 33918976.

The previous prime is 112001711. The next prime is 112001717. The reversal of 112001712 is 217100211.

It is a junction number, because it is equal to n+sod(n) for n = 112001691 and 112001700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21298 + ... + 26030.

It is an arithmetic number, because the mean of its divisors is an integer number (3962358).

Almost surely, 2112001712 is an apocalyptic number.

112001712 is a gapful number since it is divisible by the number (12) 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 112001712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158494320).

112001712 is an abundant number, since it is smaller than the sum of its proper divisors (204986928).

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

112001712 is a wasteful number, since it uses less digits than its factorization.

112001712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 112001712 is about 10583.0861283465. The cubic root of 112001712 is about 482.0309088723.

Adding to 112001712 its reverse (217100211), we get a palindrome (329101923).

The spelling of 112001712 in words is "one hundred twelve million, one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 986 1392 1479 1972 2958 3944 4733 5916 7888 9466 11832 14199 18932 23664 28398 37864 56796 75728 80461 113592 137257 160922 227184 241383 274514 321844 411771 482766 549028 643688 823542 965532 1098056 1287376 1647084 1931064 2196112 2333369 3294168 3862128 4666738 6588336 7000107 9333476 14000214 18666952 28000428 37333904 56000856 112001712