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431289016681 is a prime number
BaseRepresentation
bin1100100011010101101…
…01000010000101101001
31112020020021101002211111
412101222311002011221
524031234442013211
6530044220230321
743105513103665
oct6215265020551
91466207332744
10431289016681
111569aa451776
126b70599b3a1
1331893a940b3
1416c358ad8a5
15b343793421
hex646ad42169

431289016681 has 2 divisors, whose sum is σ = 431289016682. Its totient is φ = 431289016680.

The previous prime is 431289016649. The next prime is 431289016693. The reversal of 431289016681 is 186610982134.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239546619225 + 191742397456 = 489435^2 + 437884^2 .

It is a cyclic number.

It is not a de Polignac number, because 431289016681 - 25 = 431289016649 is a prime.

It is a super-2 number, since 2×4312890166812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (431289026681) 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 as a sum of consecutive naturals, namely, 215644508340 + 215644508341.

It is an arithmetic number, because the mean of its divisors is an integer number (215644508341).

Almost surely, 2431289016681 is an apocalyptic number.

It is an amenable number.

431289016681 is a deficient number, since it is larger than the sum of its proper divisors (1).

431289016681 is an equidigital number, since it uses as much as digits as its factorization.

431289016681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 431289016681 in words is "four hundred thirty-one billion, two hundred eighty-nine million, sixteen thousand, six hundred eighty-one".