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431113332113 is a prime number
BaseRepresentation
bin1100100011000000101…
…10110110010110010001
31112012210000210101220122
412101200112312112101
524030410003111423
6530014542520025
743101250601042
oct6214026662621
91465700711818
10431113332113
1115691a267312
126b676b96015
1331866571529
1416c1a41a8c9
15b33313d8c8
hex64605b6591

431113332113 has 2 divisors, whose sum is σ = 431113332114. Its totient is φ = 431113332112.

The previous prime is 431113332037. The next prime is 431113332119. The reversal of 431113332113 is 311233311134.

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., 338547095104 + 92566237009 = 581848^2 + 304247^2 .

It is a cyclic number.

It is not a de Polignac number, because 431113332113 - 212 = 431113328017 is a prime.

It is not a weakly prime, because it can be changed into another prime (431113332119) 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, 215556666056 + 215556666057.

It is an arithmetic number, because the mean of its divisors is an integer number (215556666057).

Almost surely, 2431113332113 is an apocalyptic number.

It is an amenable number.

431113332113 is a deficient number, since it is larger than the sum of its proper divisors (1).

431113332113 is an equidigital number, since it uses as much as digits as its factorization.

431113332113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 26.

Adding to 431113332113 its reverse (311233311134), we get a palindrome (742346643247).

The spelling of 431113332113 in words is "four hundred thirty-one billion, one hundred thirteen million, three hundred thirty-two thousand, one hundred thirteen".