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13233331023 = 311532142759
BaseRepresentation
bin11000101001100010…
…01001101101001111
31021011020211212110020
430110301021231033
5204100213043043
610025044113223
7645635313003
oct142461115517
937136755406
1013233331023
115680963510
122693995813
13132b8291b3
148d7746703
15526b91e83
hex314c49b4f

13233331023 has 24 divisors (see below), whose sum is σ = 19618650240. Its totient is φ = 7868820960.

The previous prime is 13233330989. The next prime is 13233331043. The reversal of 13233331023 is 32013333231.

13233331023 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 13233331023 - 213 = 13233322831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13233330984 and 13233331002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233331043) 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 23 ways as a sum of consecutive naturals, for example, 21318 + ... + 164076.

It is an arithmetic number, because the mean of its divisors is an integer number (817443760).

Almost surely, 213233331023 is an apocalyptic number.

13233331023 is a deficient number, since it is larger than the sum of its proper divisors (6385319217).

13233331023 is a wasteful number, since it uses less digits than its factorization.

13233331023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142879 (or 142826 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13233331023 its reverse (32013333231), we get a palindrome (45246664254).

The spelling of 13233331023 in words is "thirteen billion, two hundred thirty-three million, three hundred thirty-one thousand, twenty-three".

Divisors: 1 3 11 33 53 159 583 1749 2809 8427 30899 92697 142759 428277 1570349 4711047 7566227 22698681 83228497 249685491 401010031 1203030093 4411110341 13233331023