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1321030200 = 2335275131
BaseRepresentation
bin100111010111101…
…0101001000111000
310102001202021202110
41032233111020320
510201140431300
6335030132320
744510400000
oct11657251070
93361667673
101321030200
116187615a6
1230a4b10a0
131808bc299
14c7637000
157ae96550
hex4ebd5238

1321030200 has 288 divisors, whose sum is σ = 4814156160. Its totient is φ = 299644800.

The previous prime is 1321030181. The next prime is 1321030201. The reversal of 1321030200 is 20301231.

It is a happy number.

1321030200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321030201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10084135 + ... + 10084265.

It is an arithmetic number, because the mean of its divisors is an integer number (16715820).

Almost surely, 21321030200 is an apocalyptic number.

1321030200 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 1321030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407078080).

1321030200 is an abundant number, since it is smaller than the sum of its proper divisors (3493125960).

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

1321030200 is an equidigital number, since it uses as much as digits as its factorization.

1321030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1321030200 is about 36345.9791448793. The cubic root of 1321030200 is about 1097.2466124246.

Adding to 1321030200 its reverse (20301231), we get a palindrome (1341331431).

The spelling of 1321030200 in words is "one billion, three hundred twenty-one million, thirty thousand, two hundred".