Search a number
-
+
13333151332320 = 2535232047758979
BaseRepresentation
bin1100001000000101110110…
…1111111011011111100000
31202012122012020111201122120
43002001131233323133200
53221422243220113240
644205055401504240
72544200630244501
oct302013557733740
952178166451576
1013333151332320
1142806153726a6
1215b40794a2080
13759406a0aaa1
14341483d2cba8
15181c5c457ad0
hexc205dbfb7e0

13333151332320 has 192 divisors, whose sum is σ = 43828372062720. Its totient is φ = 3400696014848.

The previous prime is 13333151332307. The next prime is 13333151332321. The reversal of 13333151332320 is 2323315133331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333151332321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226036591 + ... + 226095569.

It is an arithmetic number, because the mean of its divisors is an integer number (228272771160).

Almost surely, 213333151332320 is an apocalyptic number.

13333151332320 is a gapful number since it is divisible by the number (10) 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 13333151332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21914186031360).

13333151332320 is an abundant number, since it is smaller than the sum of its proper divisors (30495220730400).

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

13333151332320 is a wasteful number, since it uses less digits than its factorization.

13333151332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79497 (or 79489 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 33.

Adding to 13333151332320 its reverse (2323315133331), we get a palindrome (15656466465651).

The spelling of 13333151332320 in words is "thirteen trillion, three hundred thirty-three billion, one hundred fifty-one million, three hundred thirty-two thousand, three hundred twenty".