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13220430300 = 223252721127253
BaseRepresentation
bin11000100111111111…
…11100000111011100
31021010100120102222200
430103333330013130
5204033412232200
610023503411500
7645420542400
oct142377740734
937110512880
1013220430300
115674651a60
12268b5b3b90
131328c6022c
148d5b49100
15525994800
hex313ffc1dc

13220430300 has 324 divisors, whose sum is σ = 52588337256. Its totient is φ = 2747001600.

The previous prime is 13220430269. The next prime is 13220430313. The reversal of 13220430300 is 303402231.

13220430300 is a `hidden beast` number, since 1 + 322 + 0 + 43 + 0 + 300 = 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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 471474 + ... + 498726.

Almost surely, 213220430300 is an apocalyptic number.

13220430300 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 13220430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26294168628).

13220430300 is an abundant number, since it is smaller than the sum of its proper divisors (39367906956).

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

13220430300 is a wasteful number, since it uses less digits than its factorization.

13220430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27298 (or 27281 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13220430300 its reverse (303402231), we get a palindrome (13523832531).

The spelling of 13220430300 in words is "thirteen billion, two hundred twenty million, four hundred thirty thousand, three hundred".