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112148712 = 23341313313
BaseRepresentation
bin1101010111101…
…00000011101000
321211000202010000
412223310003220
5212202224322
615043423000
72531151114
oct653640350
9254022100
10112148712
1158339a95
1231684a60
131a3083b0
1410c74744
159ca43ac
hex6af40e8

112148712 has 80 divisors (see below), whose sum is σ = 338308740. Its totient is φ = 34504704.

The previous prime is 112148681. The next prime is 112148717. The reversal of 112148712 is 217841211.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 7986276 = 10206^2 + 2826^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112148717) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1768 + ... + 15080.

Almost surely, 2112148712 is an apocalyptic number.

112148712 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 112148712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169154370).

112148712 is an abundant number, since it is smaller than the sum of its proper divisors (226160028).

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

112148712 is a wasteful number, since it uses less digits than its factorization.

112148712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344 (or 13331 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 112148712 is about 10590.0288951447. The cubic root of 112148712 is about 482.2417019777.

Adding to 112148712 its reverse (217841211), we get a palindrome (329989923).

The spelling of 112148712 in words is "one hundred twelve million, one hundred forty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 13313 26626 39939 53252 79878 106504 119817 159756 173069 239634 319512 346138 359451 479268 519207 692276 718902 958536 1038414 1078353 1384552 1437804 1557621 2076828 2156706 2875608 3115242 4153656 4313412 4672863 6230484 8626824 9345726 12460968 14018589 18691452 28037178 37382904 56074356 112148712