Search a number
-
+
13200300300000 = 253551123173917
BaseRepresentation
bin1100000000010110111100…
…1101011101011011100000
31201201221021121212000221010
43000011233031131123200
53212233203334100000
644024044555100520
72531455514144532
oct300055715353340
951657247760833
1013200300300000
11422a24142a810
121592381a41740
13749a2427baa8
14338c7dd57852
1517d584178d50
hexc016f35d6e0

13200300300000 has 576 divisors, whose sum is σ = 49302597431808. Its totient is φ = 3060921600000.

The previous prime is 13200300299999. The next prime is 13200300300037. The reversal of 13200300300000 is 300300231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75813042 + ... + 75986958.

It is an arithmetic number, because the mean of its divisors is an integer number (85594787208).

Almost surely, 213200300300000 is an apocalyptic number.

13200300300000 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 13200300300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24651298715904).

13200300300000 is an abundant number, since it is smaller than the sum of its proper divisors (36102297131808).

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

13200300300000 is a wasteful number, since it uses less digits than its factorization.

13200300300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173989 (or 173961 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 13200300300000 its reverse (300300231), we get a palindrome (13200600600231).

The spelling of 13200300300000 in words is "thirteen trillion, two hundred billion, three hundred million, three hundred thousand".