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1040431313 is a prime number
BaseRepresentation
bin111110000000111…
…011100011010001
32200111202101110002
4332000323203101
54112322300223
6251124015345
734532343305
oct7600734321
92614671402
101040431313
11494329499
12250531555
1313772513c
149c273d05
156151ae28
hex3e03b8d1

1040431313 has 2 divisors, whose sum is σ = 1040431314. Its totient is φ = 1040431312.

The previous prime is 1040431303. The next prime is 1040431321. The reversal of 1040431313 is 3131340401.

1040431313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 972005329 + 68425984 = 31177^2 + 8272^2 .

It is a cyclic number.

It is not a de Polignac number, because 1040431313 - 214 = 1040414929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1040431303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 520215656 + 520215657.

It is an arithmetic number, because the mean of its divisors is an integer number (520215657).

Almost surely, 21040431313 is an apocalyptic number.

It is an amenable number.

1040431313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040431313 is an equidigital number, since it uses as much as digits as its factorization.

1040431313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1040431313 is about 32255.7175241848. The cubic root of 1040431313 is about 1013.2994449823.

Adding to 1040431313 its reverse (3131340401), we get a palindrome (4171771714).

The spelling of 1040431313 in words is "one billion, forty million, four hundred thirty-one thousand, three hundred thirteen".