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13032321300 = 223252372291709
BaseRepresentation
bin11000010001100100…
…10111000100010100
31020122020121111221200
430020302113010110
5203142233240200
65553103512500
7640644621555
oct141062270424
936566544850
1013032321300
115588450979
1226385b8730
1312c8caa42b
148b8b8032c
155141d8800
hex308c97114

13032321300 has 216 divisors, whose sum is σ = 42160973400. Its totient is φ = 3364623360.

The previous prime is 13032321283. The next prime is 13032321307. The reversal of 13032321300 is 312323031.

13032321300 is a `hidden beast` number, since 1 + 303 + 232 + 130 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 595164816 + 12437156484 = 24396^2 + 111522^2 .

It is a super-3 number, since 3×130323213003 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032321307) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7624846 + ... + 7626554.

Almost surely, 213032321300 is an apocalyptic number.

13032321300 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 13032321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21080486700).

13032321300 is an abundant number, since it is smaller than the sum of its proper divisors (29128652100).

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

13032321300 is a wasteful number, since it uses less digits than its factorization.

13032321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1985 counting only the distinct ones).

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

Adding to 13032321300 its reverse (312323031), we get a palindrome (13344644331).

The spelling of 13032321300 in words is "thirteen billion, thirty-two million, three hundred twenty-one thousand, three hundred".