Search a number
-
+
13021332323232 = 2531740191121841
BaseRepresentation
bin1011110101111100001111…
…1000110011101110100000
31201002211100001000211102010
42331133003320303232200
53201320142033320412
643405530102152520
72512521516351522
oct275370370635640
951084301024363
1013021332323232
1141703526a39a2
121563755a22740
13735ba23a759c
14330343243a12
15178aac37a33c
hexbd7c3e33ba0

13021332323232 has 192 divisors, whose sum is σ = 36323387186688. Its totient is φ = 4070277120000.

The previous prime is 13021332323221. The next prime is 13021332323257. The reversal of 13021332323232 is 23232323312031.

It is a self number, because there is not a number n which added to its sum of digits gives 13021332323232.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596176632 + ... + 596198472.

It is an arithmetic number, because the mean of its divisors is an integer number (189184308264).

Almost surely, 213021332323232 is an apocalyptic number.

13021332323232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13021332323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161693593344).

13021332323232 is an abundant number, since it is smaller than the sum of its proper divisors (23302054863456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13021332323232 is a wasteful number, since it uses less digits than its factorization.

13021332323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23183 (or 23175 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 13021332323232 its reverse (23232323312031), we get a palindrome (36253655635263).

The spelling of 13021332323232 in words is "thirteen trillion, twenty-one billion, three hundred thirty-two million, three hundred twenty-three thousand, two hundred thirty-two".