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112124088 = 2335137421
BaseRepresentation
bin1101010111011…
…10000010111000
321210222111100000
412223232002320
5212200432323
615043113000
72531016246
oct653560270
9253874300
10112124088
115832253a
1231672760
131a2ca11b
1410c69796
159c9be43
hex6aee0b8

112124088 has 96 divisors (see below), whose sum is σ = 317968560. Its totient is φ = 37013760.

The previous prime is 112124081. The next prime is 112124101. The reversal of 112124088 is 880421211.

It is a super-2 number, since 2×1121240882 = 25143622219663488, which contains 22 as substring.

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 (112124081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266118 + ... + 266538.

Almost surely, 2112124088 is an apocalyptic number.

112124088 is a gapful number since it is divisible by the number (18) 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 112124088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158984280).

112124088 is an abundant number, since it is smaller than the sum of its proper divisors (205844472).

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

112124088 is a wasteful number, since it uses less digits than its factorization.

112124088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 112124088 is about 10588.8662282607. The cubic root of 112124088 is about 482.2064048302.

Adding to 112124088 its reverse (880421211), we get a palindrome (992545299).

The spelling of 112124088 in words is "one hundred twelve million, one hundred twenty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 137 162 216 243 274 324 411 421 486 548 648 822 842 972 1096 1233 1263 1644 1684 1944 2466 2526 3288 3368 3699 3789 4932 5052 7398 7578 9864 10104 11097 11367 14796 15156 22194 22734 29592 30312 33291 34101 44388 45468 57677 66582 68202 88776 90936 102303 115354 133164 136404 173031 204606 230708 266328 272808 346062 409212 461416 519093 692124 818424 1038186 1384248 1557279 2076372 3114558 4152744 4671837 6229116 9343674 12458232 14015511 18687348 28031022 37374696 56062044 112124088