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1320000300 = 22365219953
BaseRepresentation
bin100111010101101…
…1001101100101100
310101222210222000000
41032223121230230
510200410002200
6334552104300
744465550243
oct11653315454
93358728000
101320000300
11618118843
1230a095090
1318061b588
14c744995a
157ad41300
hex4ead9b2c

1320000300 has 252 divisors, whose sum is σ = 4525413480. Its totient is φ = 333123840.

The previous prime is 1320000259. The next prime is 1320000301. The reversal of 1320000300 is 30000231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1320000301) 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 83 ways as a sum of consecutive naturals, for example, 1384624 + ... + 1385576.

It is an arithmetic number, because the mean of its divisors is an integer number (17957990).

Almost surely, 21320000300 is an apocalyptic number.

1320000300 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 1320000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262706740).

1320000300 is an abundant number, since it is smaller than the sum of its proper divisors (3205413180).

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

1320000300 is a wasteful number, since it uses less digits than its factorization.

1320000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1320000300 is about 36331.8083777838. The cubic root of 1320000300 is about 1096.9613935896.

Adding to 1320000300 its reverse (30000231), we get a palindrome (1350000531).

The spelling of 1320000300 in words is "one billion, three hundred twenty million, three hundred", and thus it is an aban number.