Search a number
-
+
13202420231 = 71121310931097
BaseRepresentation
bin11000100101110110…
…01111001000000111
31021002002200102211002
430102323033020013
5204014304421411
610022021403515
7645111502040
oct142273171007
937062612732
1013202420231
115665470800
12268556959b
1313252c57a0
148d35bb8c7
155240d833b
hex312ecf207

13202420231 has 48 divisors (see below), whose sum is σ = 17893253952. Its totient is φ = 9478909440.

The previous prime is 13202420227. The next prime is 13202420239.

13202420231 is nontrivially palindromic in base 10.

13202420231 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 13202420231 - 22 = 13202420227 is a prime.

It is a super-2 number, since 2×132024202312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202420239) 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 47 ways as a sum of consecutive naturals, for example, 12034475 + ... + 12035571.

It is an arithmetic number, because the mean of its divisors is an integer number (372776124).

Almost surely, 213202420231 is an apocalyptic number.

13202420231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13202420231 is a deficient number, since it is larger than the sum of its proper divisors (4690833721).

13202420231 is a wasteful number, since it uses less digits than its factorization.

13202420231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 13202420231 in words is "thirteen billion, two hundred two million, four hundred twenty thousand, two hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1093 1097 1573 7651 7679 11011 12023 12067 14209 14261 84161 84469 99463 99827 132253 132737 156299 156871 925771 929159 1094093 1098097 1199021 1719289 1725581 8393147 12035023 12079067 13189231 15587273 92324617 109110911 145081541 171460003 1015570787 1200220021 1886060033 13202420231