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1330040041 = 11419730403
BaseRepresentation
bin100111101000110…
…1100110011101001
310102200201000221021
41033101230303221
510210442240131
6335551212441
744650103521
oct11721546351
93380630837
101330040041
11622855850
12311517121
13182725255
14c8900681
157bb75e11
hex4f46cce9

1330040041 has 16 divisors (see below), whose sum is σ = 1501714368. Its totient is φ = 1167436800.

The previous prime is 1330040039. The next prime is 1330040069. The reversal of 1330040041 is 1400400331.

It is a cyclic number.

It is not a de Polignac number, because 1330040041 - 21 = 1330040039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1330039997 and 1330040024.

It is not an unprimeable number, because it can be changed into a prime (1330040011) 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 15 ways as a sum of consecutive naturals, for example, 28546 + ... + 58948.

It is an arithmetic number, because the mean of its divisors is an integer number (93857148).

Almost surely, 21330040041 is an apocalyptic number.

1330040041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1330040041 is a deficient number, since it is larger than the sum of its proper divisors (171674327).

1330040041 is a wasteful number, since it uses less digits than its factorization.

1330040041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30552.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1330040041 is about 36469.7140241050. The cubic root of 1330040041 is about 1099.7354848824.

Adding to 1330040041 its reverse (1400400331), we get a palindrome (2730440372).

The spelling of 1330040041 in words is "one billion, three hundred thirty million, forty thousand, forty-one".

Divisors: 1 11 41 97 451 1067 3977 30403 43747 334433 1246523 2949091 13711753 32440001 120912731 1330040041