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431135993 is a prime number
BaseRepresentation
bin11001101100101…
…001110011111001
31010001020222101202
4121230221303321
51340332322433
6110440423545
713453411151
oct3154516371
91101228352
10431135993
11201401942
12100477bb5
136b423672
144138b761
1527cb3ee8
hex19b29cf9

431135993 has 2 divisors, whose sum is σ = 431135994. Its totient is φ = 431135992.

The previous prime is 431135981. The next prime is 431136007. The reversal of 431135993 is 399531134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273307024 + 157828969 = 16532^2 + 12563^2 .

It is a cyclic number.

It is not a de Polignac number, because 431135993 - 210 = 431134969 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (431135933) 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, 215567996 + 215567997.

It is an arithmetic number, because the mean of its divisors is an integer number (215567997).

Almost surely, 2431135993 is an apocalyptic number.

It is an amenable number.

431135993 is a deficient number, since it is larger than the sum of its proper divisors (1).

431135993 is an equidigital number, since it uses as much as digits as its factorization.

431135993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43740, while the sum is 38.

The square root of 431135993 is about 20763.8145098631. The cubic root of 431135993 is about 755.4483210757.

It can be divided in two parts, 4311 and 35993, that added together give a palindrome (40304).

The spelling of 431135993 in words is "four hundred thirty-one million, one hundred thirty-five thousand, nine hundred ninety-three".