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112023132 = 223131753797
BaseRepresentation
bin1101010110101…
…01011001011100
321210210100211220
412223111121130
5212134220012
615041013340
72530116024
oct653253134
9253710756
10112023132
1158263701
1231624250
131a2931a0
1410c40a84
159c7c08c
hex6ad565c

112023132 has 96 divisors (see below), whose sum is σ = 304057152. Its totient is φ = 31789056.

The previous prime is 112023113. The next prime is 112023139. The reversal of 112023132 is 231320211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112023139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140158 + ... + 140954.

It is an arithmetic number, because the mean of its divisors is an integer number (3167262).

Almost surely, 2112023132 is an apocalyptic number.

112023132 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 112023132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152028576).

112023132 is an abundant number, since it is smaller than the sum of its proper divisors (192034020).

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

112023132 is a wasteful number, since it uses less digits than its factorization.

112023132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 112023132 is about 10584.0980721080. The cubic root of 112023132 is about 482.0616359143.

Adding to 112023132 its reverse (231320211), we get a palindrome (343343343).

The spelling of 112023132 in words is "one hundred twelve million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 53 68 78 102 106 156 159 204 212 221 318 442 636 663 689 797 884 901 1326 1378 1594 1802 2067 2391 2652 2703 2756 3188 3604 4134 4782 5406 8268 9564 10361 10812 11713 13549 20722 23426 27098 31083 35139 40647 41444 42241 46852 54196 62166 70278 81294 84482 124332 126723 140556 162588 168964 176137 253446 352274 506892 528411 549133 704548 718097 1056822 1098266 1436194 1647399 2113644 2154291 2196532 2872388 3294798 4308582 6589596 8617164 9335261 18670522 28005783 37341044 56011566 112023132