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112015116 = 2233412617
BaseRepresentation
bin1101010110100…
…11011100001100
321210202221212000
412223103130030
5212133440431
615040512300
72530053453
oct653233414
9253687760
10112015116
1158258684
123161b690
131a28c645
1410c3bb9a
159c799e6
hex6ad370c

112015116 has 72 divisors (see below), whose sum is σ = 298147920. Its totient is φ = 36368640.

The previous prime is 112015073. The next prime is 112015151. The reversal of 112015116 is 611510211.

It is a happy number.

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

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, 181240 + ... + 181856.

Almost surely, 2112015116 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 112015116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149073960).

112015116 is an abundant number, since it is smaller than the sum of its proper divisors (186132804).

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

112015116 is a wasteful number, since it uses less digits than its factorization.

112015116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 112015116 is about 10583.7193840351. The cubic root of 112015116 is about 482.0501374015.

Adding to 112015116 its reverse (611510211), we get a palindrome (723525327).

The spelling of 112015116 in words is "one hundred twelve million, fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 617 738 1107 1234 1476 1681 1851 2214 2468 3362 3702 4428 5043 5553 6724 7404 10086 11106 15129 16659 20172 22212 25297 30258 33318 45387 50594 60516 66636 75891 90774 101188 151782 181548 227673 303564 455346 683019 910692 1037177 1366038 2074354 2732076 3111531 4148708 6223062 9334593 12446124 18669186 28003779 37338372 56007558 112015116