Search a number
-
+
13291910007 = 337417340009
BaseRepresentation
bin11000110000100001…
…00111001101110111
31021022100001222201020
430120100213031313
5204210212110012
610034535432223
7650246241135
oct143020471567
937270058636
1013291910007
115700a337a2
1226ab525673
13133a9c940c
14901434755
1552bdb3a8c
hex318427377

13291910007 has 32 divisors (see below), whose sum is σ = 18901364160. Its totient is φ = 8296058880.

The previous prime is 13291909997. The next prime is 13291910029. The reversal of 13291910007 is 70001919231.

13291910007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13291910007 - 215 = 13291877239 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13291910007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13291910077) 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 31 ways as a sum of consecutive naturals, for example, 312219 + ... + 352227.

It is an arithmetic number, because the mean of its divisors is an integer number (590667630).

Almost surely, 213291910007 is an apocalyptic number.

13291910007 is a deficient number, since it is larger than the sum of its proper divisors (5609454153).

13291910007 is a wasteful number, since it uses less digits than its factorization.

13291910007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40163.

The product of its (nonzero) digits is 3402, while the sum is 33.

The spelling of 13291910007 in words is "thirteen billion, two hundred ninety-one million, nine hundred ten thousand, seven".

Divisors: 1 3 37 41 73 111 123 219 1517 2701 2993 4551 8103 8979 40009 110741 120027 332223 1480333 1640369 2920657 4440999 4921107 8761971 60693653 108064309 119746937 182080959 324192927 359240811 4430636669 13291910007