Search a number
-
+
13231033023 = 3135931318371
BaseRepresentation
bin11000101001010000…
…11000101010111111
31021011002112010012010
430110220120222333
5204044121024043
610024522542303
7645606632205
oct142450305277
937132463163
1013231033023
11567a633a3a
122693067993
13132b203230
148d7309075
1552688b133
hex314a18abf

13231033023 has 32 divisors (see below), whose sum is σ = 19383194880. Its totient is φ = 7978164480.

The previous prime is 13231033001. The next prime is 13231033063. The reversal of 13231033023 is 32033013231.

13231033023 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 13231033023 - 26 = 13231032959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231033063) 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, 711028 + ... + 729398.

It is an arithmetic number, because the mean of its divisors is an integer number (605724840).

Almost surely, 213231033023 is an apocalyptic number.

13231033023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13231033023 is a deficient number, since it is larger than the sum of its proper divisors (6152161857).

13231033023 is a wasteful number, since it uses less digits than its factorization.

13231033023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18759.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13231033023 its reverse (32033013231), we get a palindrome (45264046254).

The spelling of 13231033023 in words is "thirteen billion, two hundred thirty-one million, thirty-three thousand, twenty-three".

Divisors: 1 3 13 39 59 177 313 767 939 2301 4069 12207 18371 18467 55113 55401 238823 240071 716469 720213 1083889 3251667 5750123 14090557 17250369 42271671 74751599 224254797 339257257 1017771771 4410344341 13231033023