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12443431 = 7111331401
BaseRepresentation
bin101111011101…
…111100100111
3212102012011211
4233131330213
511141142211
61122412251
7210524140
oct57357447
925365154
1012443431
117029a30
124201087
132768aa0
14191cac7
15115be21
hexbddf27

12443431 has 32 divisors (see below), whose sum is σ = 17289216. Its totient is φ = 8640000.

The previous prime is 12443429. The next prime is 12443449. The reversal of 12443431 is 13434421.

It is a 9-Lehmer number, since φ(12443431) divides (12443431-1)9.

It is a cyclic number.

It is not a de Polignac number, because 12443431 - 21 = 12443429 is a prime.

It is a super-2 number, since 2×124434312 = 309677950103522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443411) 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, 30831 + ... + 31231.

It is an arithmetic number, because the mean of its divisors is an integer number (540288).

Almost surely, 212443431 is an apocalyptic number.

12443431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12443431 is a deficient number, since it is larger than the sum of its proper divisors (4845785).

12443431 is a wasteful number, since it uses less digits than its factorization.

12443431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463.

The product of its digits is 1152, while the sum is 22.

The square root of 12443431 is about 3527.5247695799. The cubic root of 12443431 is about 231.7288188457.

Adding to 12443431 its reverse (13434421), we get a palindrome (25877852).

The spelling of 12443431 in words is "twelve million, four hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 7 11 13 31 77 91 143 217 341 401 403 1001 2387 2807 2821 4411 4433 5213 12431 30877 31031 36491 57343 87017 136741 161603 401401 957187 1131221 1777633 12443431