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20130000300 = 223252193133761
BaseRepresentation
bin10010101111110101…
…110110110110101100
31220221220010222010200
4102233311312312230
5312211240002200
613125251433500
71311561115344
oct225765666654
956856128120
1020130000300
11859a951193
123a995b5890
131b8a5c35a7
14d8d685d24
157cc399800
hex4afd76dac

20130000300 has 216 divisors, whose sum is σ = 66647140560. Its totient is φ = 5067878400.

The previous prime is 20130000299. The next prime is 20130000307. The reversal of 20130000300 is 300003102.

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 (20130000307) 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, 5350420 + ... + 5354180.

Almost surely, 220130000300 is an apocalyptic number.

20130000300 is a gapful number since it is divisible by the number (20) 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 20130000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33323570280).

20130000300 is an abundant number, since it is smaller than the sum of its proper divisors (46517140260).

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

20130000300 is a wasteful number, since it uses less digits than its factorization.

20130000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4103 counting only the distinct ones).

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

Adding to 20130000300 its reverse (300003102), we get a palindrome (20430003402).

The spelling of 20130000300 in words is "twenty billion, one hundred thirty million, three hundred", and thus it is an aban number.