Search a number
-
+
13205383165 = 5131712794099
BaseRepresentation
bin11000100110001101…
…00010011111111101
31021002022020222012101
430103012202133331
5204021034230130
610022205105101
7645145622242
oct142306423775
937068228171
1013205383165
115667104907
122686558191
131325ac22c0
148d3b4d5c9
155244c11ca
hex3131a27fd

13205383165 has 32 divisors (see below), whose sum is σ = 18211737600. Its totient is φ = 9105675264.

The previous prime is 13205383159. The next prime is 13205383181. The reversal of 13205383165 is 56138350231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13205383165 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 93286 + ... + 187384.

It is an arithmetic number, because the mean of its divisors is an integer number (569116800).

Almost surely, 213205383165 is an apocalyptic number.

It is an amenable number.

13205383165 is a deficient number, since it is larger than the sum of its proper divisors (5006354435).

13205383165 is a wasteful number, since it uses less digits than its factorization.

13205383165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94261.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 13205383165 in words is "thirteen billion, two hundred five million, three hundred eighty-three thousand, one hundred sixty-five".

Divisors: 1 5 13 17 65 85 127 221 635 1105 1651 2159 8255 10795 28067 94099 140335 470495 1223287 1599683 6116435 7998415 11950573 20795879 59752865 103979395 155357449 203159741 776787245 1015798705 2641076633 13205383165