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13200322000 = 24536600161
BaseRepresentation
bin11000100101100110…
…01110110111010000
31021001221201211120211
430102303032313100
5204013240301000
610021504413504
7645054612535
oct142263166720
937057654524
1013200322000
115664268328
122684917294
131324a3c728
148d31d2d8c
15523d217ba
hex312ccedd0

13200322000 has 40 divisors (see below), whose sum is σ = 31918383432. Its totient is φ = 5280128000.

The previous prime is 13200321931. The next prime is 13200322007. The reversal of 13200322000 is 22300231.

It is a happy number.

13200322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 386987584 + 12813334416 = 19672^2 + 113196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200322007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3298081 + ... + 3302080.

Almost surely, 213200322000 is an apocalyptic number.

13200322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200322000 is an abundant number, since it is smaller than the sum of its proper divisors (18718061432).

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

13200322000 is an equidigital number, since it uses as much as digits as its factorization.

13200322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600184 (or 6600168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 13200322000 its reverse (22300231), we get a palindrome (13222622231).

The spelling of 13200322000 in words is "thirteen billion, two hundred million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6600161 13200322 26400644 33000805 52801288 66001610 105602576 132003220 165004025 264006440 330008050 528012880 660016100 825020125 1320032200 1650040250 2640064400 3300080500 6600161000 13200322000