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431132132241 = 32351711362019
BaseRepresentation
bin1100100011000010111…
…10100100001110010001
31112012211100011112211200
412101201132210032101
524030424311212431
6530020453501413
743101566441646
oct6214136441621
91465740145750
10431132132241
11156929938108
126b681341869
133186a424775
1416c1cb11dcd
15b334b03ee6
hex64617a4391

431132132241 has 12 divisors (see below), whose sum is σ = 622764576720. Its totient is φ = 287413038360.

The previous prime is 431132132191. The next prime is 431132132269. The reversal of 431132132241 is 142231231134.

431132132241 is a `hidden beast` number, since 4 + 3 + 11 + 321 + 322 + 4 + 1 = 666.

It is not a de Polignac number, because 431132132241 - 27 = 431132132113 is a prime.

It is a super-2 number, since 2×4311321322412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431132132281) 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 11 ways as a sum of consecutive naturals, for example, 364471 + ... + 997548.

It is an arithmetic number, because the mean of its divisors is an integer number (51897048060).

Almost surely, 2431132132241 is an apocalyptic number.

It is an amenable number.

431132132241 is a deficient number, since it is larger than the sum of its proper divisors (191632444479).

431132132241 is a wasteful number, since it uses less digits than its factorization.

431132132241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397196 (or 1397193 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 431132132241 its reverse (142231231134), we get a palindrome (573363363375).

The spelling of 431132132241 in words is "four hundred thirty-one billion, one hundred thirty-two million, one hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 9 35171 105513 316539 1362019 4086057 12258171 47903570249 143710710747 431132132241