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112180431 = 3112309037
BaseRepresentation
bin1101010111110…
…11110011001111
321211002100121210
412223323303033
5212204233211
615044225503
72531342436
oct653736317
9254070553
10112180431
1158360900
123169b293
131a31996c
1410c8211d
159cad9a6
hex6afbccf

112180431 has 12 divisors (see below), whose sum is σ = 164408216. Its totient is φ = 67987920.

The previous prime is 112180423. The next prime is 112180441. The reversal of 112180431 is 134081211.

It is a happy number.

It is not a de Polignac number, because 112180431 - 23 = 112180423 is a prime.

It is a super-2 number, since 2×1121804312 = 25168898198691522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112180398 and 112180407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112180441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154156 + ... + 154881.

Almost surely, 2112180431 is an apocalyptic number.

112180431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112180431 is a deficient number, since it is larger than the sum of its proper divisors (52227785).

112180431 is a wasteful number, since it uses less digits than its factorization.

112180431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309062 (or 309051 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 112180431 is about 10591.5263772508. The cubic root of 112180431 is about 482.2871618034.

The spelling of 112180431 in words is "one hundred twelve million, one hundred eighty thousand, four hundred thirty-one".

Divisors: 1 3 11 33 121 363 309037 927111 3399407 10198221 37393477 112180431