Search a number
-
+
13144201005 = 3513611105019
BaseRepresentation
bin11000011110111010…
…01001011100101101
31020221001010121001110
430033131021130231
5203404403413010
610012141502233
7643503602505
oct141735113455
936831117043
1013144201005
115635616841
122669b71979
131316220240
148c9984a05
1551de38120
hex30f74972d

13144201005 has 32 divisors (see below), whose sum is σ = 23019776640. Its totient is φ = 6364903680.

The previous prime is 13144200967. The next prime is 13144201027. The reversal of 13144201005 is 50010244131.

It is not a de Polignac number, because 13144201005 - 217 = 13144069933 is a prime.

It is a Curzon number.

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, 540615 + ... + 564404.

It is an arithmetic number, because the mean of its divisors is an integer number (719368020).

Almost surely, 213144201005 is an apocalyptic number.

13144201005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13144201005 is a deficient number, since it is larger than the sum of its proper divisors (9875575635).

13144201005 is a wasteful number, since it uses less digits than its factorization.

13144201005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105101.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 13144201005 its reverse (50010244131), we get a palindrome (63154445136).

The spelling of 13144201005 in words is "thirteen billion, one hundred forty-four million, two hundred one thousand, five".

Divisors: 1 3 5 13 15 39 61 65 183 195 305 793 915 2379 3965 11895 1105019 3315057 5525095 14365247 16575285 43095741 67406159 71826235 202218477 215478705 337030795 876280067 1011092385 2628840201 4381400335 13144201005