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1305310045 = 51389225637
BaseRepresentation
bin100110111001101…
…0111001101011101
310100222011121202111
41031303113031131
510133124410140
6333305154021
744226644434
oct11563271535
93328147674
101305310045
1160a8a4836
1230518b911
1317a576c10
14c550411b
15798dd7ea
hex4dcd735d

1305310045 has 16 divisors (see below), whose sum is σ = 1705823280. Its totient is φ = 953086464.

The previous prime is 1305310043. The next prime is 1305310067. The reversal of 1305310045 is 5400135031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14273284 + 1291036761 = 3778^2 + 35931^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305310045 - 21 = 1305310043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1305309998 and 1305310025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305310043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107034 + ... + 118603.

It is an arithmetic number, because the mean of its divisors is an integer number (106613955).

Almost surely, 21305310045 is an apocalyptic number.

It is an amenable number.

1305310045 is a deficient number, since it is larger than the sum of its proper divisors (400513235).

1305310045 is a wasteful number, since it uses less digits than its factorization.

1305310045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225744.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1305310045 is about 36129.0747874894. The cubic root of 1305310045 is about 1092.8768503756.

Adding to 1305310045 its reverse (5400135031), we get a palindrome (6705445076).

The spelling of 1305310045 in words is "one billion, three hundred five million, three hundred ten thousand, forty-five".

Divisors: 1 5 13 65 89 445 1157 5785 225637 1128185 2933281 14666405 20081693 100408465 261062009 1305310045