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112331124 = 2235163709
BaseRepresentation
bin1101011001000…
…00100101110100
321211101000100000
412230200211310
5212224043444
615051351300
72532540663
oct654404564
9254330300
10112331124
1158454044
1231752530
131a370429
1410cc0dda
159cdd469
hex6b20974

112331124 has 72 divisors (see below), whose sum is σ = 296689120. Its totient is φ = 37161504.

The previous prime is 112331113. The next prime is 112331129. The reversal of 112331124 is 421133211.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112331097 and 112331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112331129) 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, 158082 + ... + 158790.

Almost surely, 2112331124 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 112331124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148344560).

112331124 is an abundant number, since it is smaller than the sum of its proper divisors (184357996).

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

112331124 is a wasteful number, since it uses less digits than its factorization.

112331124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 877 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 112331124 is about 10598.6378370053. The cubic root of 112331124 is about 482.5030187646.

Adding to 112331124 its reverse (421133211), we get a palindrome (533464335).

The spelling of 112331124 in words is "one hundred twelve million, three hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 243 324 326 486 489 652 709 972 978 1418 1467 1956 2127 2836 2934 4254 4401 5868 6381 8508 8802 12762 13203 17604 19143 25524 26406 38286 39609 52812 57429 76572 79218 114858 115567 158436 172287 229716 231134 344574 346701 462268 689148 693402 1040103 1386804 2080206 3120309 4160412 6240618 9360927 12481236 18721854 28082781 37443708 56165562 112331124