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13321230300 = 22335276311117
BaseRepresentation
bin11000110100000000…
…11101011111011100
31021101101020121121000
430122000131133130
5204240213332200
610041504110300
7651053406060
oct143200353734
937341217530
1013321230300
11571653a544
1226b9305390
131343ac3bc1
149052a7aa0
1552e756300
hex31a01d7dc

13321230300 has 288 divisors, whose sum is σ = 49064637440. Its totient is φ = 3037305600.

The previous prime is 13321230259. The next prime is 13321230341. The reversal of 13321230300 is 303212331.

13321230300 is a `hidden beast` number, since 1 + 332 + 1 + 2 + 30 + 300 = 666.

13321230300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13321230259) and next prime (13321230341).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11925342 + ... + 11926458.

Almost surely, 213321230300 is an apocalyptic number.

13321230300 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 13321230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24532318720).

13321230300 is an abundant number, since it is smaller than the sum of its proper divisors (35743407140).

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

13321230300 is a wasteful number, since it uses less digits than its factorization.

13321230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1765 counting only the distinct ones).

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

Adding to 13321230300 its reverse (303212331), we get a palindrome (13624442631).

The spelling of 13321230300 in words is "thirteen billion, three hundred twenty-one million, two hundred thirty thousand, three hundred".