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112021312 = 2613210357
BaseRepresentation
bin1101010110101…
…00111101000000
321210210021100111
412223110331000
5212134140222
615041001104
72530110514
oct653247500
9253707314
10112021312
11582622a7
1231623194
131a292400
1410c40144
159c7b777
hex6ad4f40

112021312 has 42 divisors (see below), whose sum is σ = 240730278. Its totient is φ = 51697152.

The previous prime is 112021303. The next prime is 112021333. The reversal of 112021312 is 213120211.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 112021056 = 16^2 + 10584^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 112021292 and 112021301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5638 + ... + 15994.

Almost surely, 2112021312 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 112021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120365139).

112021312 is an abundant number, since it is smaller than the sum of its proper divisors (128708966).

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

112021312 is a wasteful number, since it uses less digits than its factorization.

112021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 112021312 is about 10584.0120937195. The cubic root of 112021312 is about 482.0590252721.

Adding to 112021312 its reverse (213120211), we get a palindrome (325141523).

The spelling of 112021312 in words is "one hundred twelve million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10357 10816 20714 41428 82856 134641 165712 269282 331424 538564 662848 1077128 1750333 2154256 3500666 4308512 7001332 8617024 14002664 28005328 56010656 112021312