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3013130320200 = 233252711133745197
BaseRepresentation
bin101011110110001100100…
…011111111100101001000
3101200001102020021122121200
4223312030203333211020
5343331342330221300
610224113555504200
7430456115065020
oct53661443774510
911601366248550
103013130320200
11a61952571680
12407b6b2b8060
1318b1a1c00040
14a5b9caa6a80
15535a2339200
hex2bd8c8ff948

3013130320200 has 1152 divisors, whose sum is σ = 13953989387520. Its totient is φ = 562310553600.

The previous prime is 3013130320199. The next prime is 3013130320201. The reversal of 3013130320200 is 20230313103.

3013130320200 is a `hidden beast` number, since 3 + 0 + 13 + 130 + 320 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (3013130320199) and next prime (3013130320201).

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

It is not an unprimeable number, because it can be changed into a prime (3013130320201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66644002 + ... + 66689198.

It is an arithmetic number, because the mean of its divisors is an integer number (12112838010).

Almost surely, 23013130320200 is an apocalyptic number.

3013130320200 is a gapful number since it is divisible by the number (30) 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 3013130320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976994693760).

3013130320200 is an abundant number, since it is smaller than the sum of its proper divisors (10940859067320).

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

3013130320200 is a wasteful number, since it uses less digits than its factorization.

3013130320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45287 (or 45275 counting only the distinct ones).

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

Adding to 3013130320200 its reverse (20230313103), we get a palindrome (3033360633303).

The spelling of 3013130320200 in words is "three trillion, thirteen billion, one hundred thirty million, three hundred twenty thousand, two hundred".