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231430431 = 31938310601
BaseRepresentation
bin11011100101101…
…01100100011111
3121010110212212110
431302311210133
5433221233211
634544205103
75510061201
oct1562654437
9533425773
10231430431
11109700121
1265609793
1338c403ab
1422a44771
15154b6ea6
hexdcb591f

231430431 has 16 divisors (see below), whose sum is σ = 325693440. Its totient is φ = 145771200.

The previous prime is 231430417. The next prime is 231430447. The reversal of 231430431 is 134034132.

It is not a de Polignac number, because 231430431 - 25 = 231430399 is a prime.

It is a super-2 number, since 2×2314304312 = 107120088785691522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231430398 and 231430407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231430471) 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 15 ways as a sum of consecutive naturals, for example, 16531 + ... + 27131.

It is an arithmetic number, because the mean of its divisors is an integer number (20355840).

Almost surely, 2231430431 is an apocalyptic number.

231430431 is a deficient number, since it is larger than the sum of its proper divisors (94263009).

231430431 is a wasteful number, since it uses less digits than its factorization.

231430431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11006.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 231430431 is about 15212.8377037290. The cubic root of 231430431 is about 613.9601092752.

Adding to 231430431 its reverse (134034132), we get a palindrome (365464563).

The spelling of 231430431 in words is "two hundred thirty-one million, four hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 19 57 383 1149 7277 10601 21831 31803 201419 604257 4060183 12180549 77143477 231430431