Search a number
-
+
13133307265 = 5131949103669
BaseRepresentation
bin11000011101100111…
…00101110110000001
31020220021122010122121
430032303211312001
5203344111313030
610011112204241
7643312161361
oct141663456601
936807563577
1013133307265
11562a456151
122666399681
131313ba7940
148c834a9a1
1551ced547a
hex30ece5d81

13133307265 has 16 divisors (see below), whose sum is σ = 16981146000. Its totient is φ = 9693372672.

The previous prime is 13133307251. The next prime is 13133307269. The reversal of 13133307265 is 56270333131.

13133307265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3814209 + 13129493056 = 1953^2 + 114584^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133307265 - 219 = 13132782977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13133307265.

It is not an unprimeable number, because it can be changed into a prime (13133307269) 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, 74851 + ... + 178519.

It is an arithmetic number, because the mean of its divisors is an integer number (1061321625).

Almost surely, 213133307265 is an apocalyptic number.

It is an amenable number.

13133307265 is a deficient number, since it is larger than the sum of its proper divisors (3847838735).

13133307265 is a wasteful number, since it uses less digits than its factorization.

13133307265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105636.

The product of its (nonzero) digits is 34020, while the sum is 34.

The spelling of 13133307265 in words is "thirteen billion, one hundred thirty-three million, three hundred seven thousand, two hundred sixty-five".

Divisors: 1 5 13 65 1949 9745 25337 103669 126685 518345 1347697 6738485 202050881 1010254405 2626661453 13133307265