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112131123 = 31331163569
BaseRepresentation
bin1101010111011…
…11110000110011
321210222211222120
412223233300303
5212201143443
615043205323
72531045616
oct653576063
9253884876
10112131123
1158327855
1231676843
131a3003a0
1410c6c17d
159c9e083
hex6aefc33

112131123 has 32 divisors (see below), whose sum is σ = 167516160. Its totient is φ = 66251520.

The previous prime is 112131121. The next prime is 112131157. The reversal of 112131123 is 321131211.

It is a happy number.

It is not a de Polignac number, because 112131123 - 21 = 112131121 is a prime.

It is a super-2 number, since 2×1121311232 = 25146777490482258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112131121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196783 + ... + 197351.

It is an arithmetic number, because the mean of its divisors is an integer number (5234880).

Almost surely, 2112131123 is an apocalyptic number.

112131123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

112131123 is a deficient number, since it is larger than the sum of its proper divisors (55385037).

112131123 is a wasteful number, since it uses less digits than its factorization.

112131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its digits is 36, while the sum is 15.

The square root of 112131123 is about 10589.1984115890. The cubic root of 112131123 is about 482.2164896424.

Adding to 112131123 its reverse (321131211), we get a palindrome (433262334).

The spelling of 112131123 in words is "one hundred twelve million, one hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 13 31 39 93 163 403 489 569 1209 1707 2119 5053 6357 7397 15159 17639 22191 52917 65689 92747 197067 229307 278241 687921 1205711 2875157 3617133 8625471 37377041 112131123