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13230213300 = 22335247137761
BaseRepresentation
bin11000101001001010…
…10000100010110100
31021011000222110202000
430110211100202310
5204043413311200
610024453215300
7645566646303
oct142445204264
937130873660
1013230213300
11567a124087
122692931530
13132aca70a5
148d717443a
15526778300
hex3149508b4

13230213300 has 288 divisors, whose sum is σ = 43812195840. Its totient is φ = 3423283200.

The previous prime is 13230213251. The next prime is 13230213313. The reversal of 13230213300 is 331203231.

13230213300 is a `hidden beast` number, since 1 + 32 + 302 + 1 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17384920 + ... + 17385680.

It is an arithmetic number, because the mean of its divisors is an integer number (152125680).

Almost surely, 213230213300 is an apocalyptic number.

13230213300 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 13230213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21906097920).

13230213300 is an abundant number, since it is smaller than the sum of its proper divisors (30581982540).

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

13230213300 is a wasteful number, since it uses less digits than its factorization.

13230213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13230213300 its reverse (331203231), we get a palindrome (13561416531).

The spelling of 13230213300 in words is "thirteen billion, two hundred thirty million, two hundred thirteen thousand, three hundred".