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112412112 = 2432341919
BaseRepresentation
bin1101011001101…
…00010111010000
321211112010102120
412230310113100
5212234141422
615053214240
72533326051
oct654642720
9254463376
10112412112
11584a997a
1231791380
131a39b257
1410d02728
159d0745c
hex6b345d0

112412112 has 20 divisors (see below), whose sum is σ = 290398080. Its totient is φ = 37470688.

The previous prime is 112412077. The next prime is 112412117. The reversal of 112412112 is 211214211.

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 = 112412091 and 112412100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112412117) 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 3 ways as a sum of consecutive naturals, for example, 1170912 + ... + 1171007.

It is an arithmetic number, because the mean of its divisors is an integer number (14519904).

Almost surely, 2112412112 is an apocalyptic number.

112412112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112412112 is an abundant number, since it is smaller than the sum of its proper divisors (177985968).

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

112412112 is a wasteful number, since it uses less digits than its factorization.

112412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341930 (or 2341924 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 112412112 is about 10602.4578282585. The cubic root of 112412112 is about 482.6189485434.

Adding to 112412112 its reverse (211214211), we get a palindrome (323626323).

The spelling of 112412112 in words is "one hundred twelve million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2341919 4683838 7025757 9367676 14051514 18735352 28103028 37470704 56206056 112412112