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2000130300300 = 22352117110184521
BaseRepresentation
bin11101000110110001000…
…011100101100110001100
321002012200112000210101010
4131012301003211212030
5230232231324102200
64130502553445220
7264335044016226
oct35066103454614
97065615023333
102000130300300
11701283458390
1228377b710810
131167c4556742
146cb41ccb416
153706466a150
hex1d1b10e598c

2000130300300 has 288 divisors, whose sum is σ = 6465519180288. Its totient is φ = 473312000000.

The previous prime is 2000130300281. The next prime is 2000130300307. The reversal of 2000130300300 is 30030310002.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2000130300307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23622040 + ... + 23706560.

It is an arithmetic number, because the mean of its divisors is an integer number (22449719376).

Almost surely, 22000130300300 is an apocalyptic number.

2000130300300 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 2000130300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232759590144).

2000130300300 is an abundant number, since it is smaller than the sum of its proper divisors (4465388879988).

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

2000130300300 is a wasteful number, since it uses less digits than its factorization.

2000130300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84721 (or 84714 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 2000130300300 its reverse (30030310002), we get a palindrome (2030160610302).

The spelling of 2000130300300 in words is "two trillion, one hundred thirty million, three hundred thousand, three hundred".