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1040431013 = 192315432
BaseRepresentation
bin111110000000111…
…011011110100101
32200111202101000222
4332000323132211
54112322243023
6251124014125
734532342366
oct7600733645
92614671028
101040431013
11494329246
12250531345
13137724c6b
149c273b6d
156151acc8
hex3e03b7a5

1040431013 has 12 divisors (see below), whose sum is σ = 1143548640. Its totient is φ = 942205176.

The previous prime is 1040431003. The next prime is 1040431031. The reversal of 1040431013 is 3101340401.

It is not a de Polignac number, because 1040431013 - 210 = 1040429989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1040430982 and 1040431000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040431003) 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, 673520 + ... + 675062.

It is an arithmetic number, because the mean of its divisors is an integer number (95295720).

Almost surely, 21040431013 is an apocalyptic number.

It is an amenable number.

1040431013 is a deficient number, since it is larger than the sum of its proper divisors (103117627).

1040431013 is an frugal number, since it uses more digits than its factorization.

1040431013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1040431013 is about 32255.7128738461. The cubic root of 1040431013 is about 1013.2993475901.

Adding to 1040431013 its reverse (3101340401), we get a palindrome (4141771414).

The spelling of 1040431013 in words is "one billion, forty million, four hundred thirty-one thousand, thirteen".

Divisors: 1 19 23 437 1543 29317 35489 674291 2380849 45236131 54759527 1040431013