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112431033 = 32111387359
BaseRepresentation
bin1101011001110…
…00111110111001
321211120002101100
412230320332321
5212240243113
615053442013
72533435161
oct654707671
9254502340
10112431033
1158512110
12317a0309
131a3a6a50
1410d095a1
159d0cd73
hex6b38fb9

112431033 has 24 divisors (see below), whose sum is σ = 190794240. Its totient is φ = 62897760.

The previous prime is 112431031. The next prime is 112431041. The reversal of 112431033 is 330134211.

It is not a de Polignac number, because 112431033 - 21 = 112431031 is a prime.

It is a super-3 number, since 3×1124310333 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112430997 and 112431015.

It is not an unprimeable number, because it can be changed into a prime (112431031) 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 23 ways as a sum of consecutive naturals, for example, 42393 + ... + 44966.

It is an arithmetic number, because the mean of its divisors is an integer number (7949760).

Almost surely, 2112431033 is an apocalyptic number.

112431033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112431033 is a deficient number, since it is larger than the sum of its proper divisors (78363207).

112431033 is a wasteful number, since it uses less digits than its factorization.

112431033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87389 (or 87386 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 112431033 is about 10603.3500838178. The cubic root of 112431033 is about 482.6460248690.

Adding to 112431033 its reverse (330134211), we get a palindrome (442565244).

The spelling of 112431033 in words is "one hundred twelve million, four hundred thirty-one thousand, thirty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 87359 262077 786231 960949 1135667 2882847 3407001 8648541 10221003 12492337 37477011 112431033