Search a number
-
+
112112008 = 231719431009
BaseRepresentation
bin1101010111010…
…11000110001000
321210221212202121
412223223012020
5212200041013
615042541024
72530636111
oct653530610
9253855677
10112112008
1158314458
1231667774
131a2c4788
1410c65208
159c9858d
hex6aeb188

112112008 has 64 divisors (see below), whose sum is σ = 239976000. Its totient is φ = 48771072.

The previous prime is 112112003. The next prime is 112112009. The reversal of 112112008 is 800211211.

It is a junction number, because it is equal to n+sod(n) for n = 112111982 and 112112000.

It is not an unprimeable number, because it can be changed into a prime (112112003) 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 15 ways as a sum of consecutive naturals, for example, 110608 + ... + 111616.

It is an arithmetic number, because the mean of its divisors is an integer number (3749625).

Almost surely, 2112112008 is an apocalyptic number.

It is an amenable number.

112112008 is an abundant number, since it is smaller than the sum of its proper divisors (127863992).

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

112112008 is a wasteful number, since it uses less digits than its factorization.

112112008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 112112008 is about 10588.2958024415. The cubic root of 112112008 is about 482.1890869262.

Adding to 112112008 its reverse (800211211), we get a palindrome (912323219).

The spelling of 112112008 in words is "one hundred twelve million, one hundred twelve thousand, eight".

Divisors: 1 2 4 8 17 19 34 38 43 68 76 86 136 152 172 323 344 646 731 817 1009 1292 1462 1634 2018 2584 2924 3268 4036 5848 6536 8072 13889 17153 19171 27778 34306 38342 43387 55556 68612 76684 86774 111112 137224 153368 173548 325907 347096 651814 737579 824353 1303628 1475158 1648706 2607256 2950316 3297412 5900632 6594824 14014001 28028002 56056004 112112008