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112313016 = 233217891031
BaseRepresentation
bin1101011000111…
…00001010111000
321211100002111100
412230130022320
5212223004031
615051131400
72532434124
oct654341270
9254302440
10112313016
1158441482
1231743b60
131a36510a
1410cb8584
159cd7de6
hex6b1c2b8

112313016 has 96 divisors (see below), whose sum is σ = 326008800. Its totient is φ = 34805760.

The previous prime is 112312987. The next prime is 112313029. The reversal of 112313016 is 610313211.

It is a super-2 number, since 2×1123130162 = 25228427126032512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112313016.

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 23 ways as a sum of consecutive naturals, for example, 108421 + ... + 109451.

It is an arithmetic number, because the mean of its divisors is an integer number (3395925).

Almost surely, 2112313016 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 112313016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163004400).

112313016 is an abundant number, since it is smaller than the sum of its proper divisors (213695784).

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

112313016 is a wasteful number, since it uses less digits than its factorization.

112313016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 112313016 is about 10597.7835418544. The cubic root of 112313016 is about 482.4770905568.

Adding to 112313016 its reverse (610313211), we get a palindrome (722626227).

The spelling of 112313016 in words is "one hundred twelve million, three hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 89 102 136 153 178 204 267 306 356 408 534 612 712 801 1031 1068 1224 1513 1602 2062 2136 3026 3093 3204 4124 4539 6052 6186 6408 8248 9078 9279 12104 12372 13617 17527 18156 18558 24744 27234 35054 36312 37116 52581 54468 70108 74232 91759 105162 108936 140216 157743 183518 210324 275277 315486 367036 420648 550554 630972 734072 825831 1101108 1261944 1559903 1651662 2202216 3119806 3303324 4679709 6239612 6606648 9359418 12479224 14039127 18718836 28078254 37437672 56156508 112313016