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300320130000 = 24354111724767
BaseRepresentation
bin1000101111011000111…
…10011000001111010000
31001201011211022022112210
410113230132120033100
514410023423130000
6345544250352120
730461132662062
oct4275436301720
91051154268483
10300320130000
1110640197a750
124a25472b640
1322421257047
141076d875732
157c2a847350
hex45ec7983d0

300320130000 has 1200 divisors, whose sum is σ = 1164508038144. Its totient is φ = 66063360000.

The previous prime is 300320129971. The next prime is 300320130023. The reversal of 300320130000 is 31023003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 4482389967 + ... + 4482390033.

Almost surely, 2300320130000 is an apocalyptic number.

300320130000 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 300320130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582254019072).

300320130000 is an abundant number, since it is smaller than the sum of its proper divisors (864187908144).

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

300320130000 is a wasteful number, since it uses less digits than its factorization.

300320130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 152 counting only the distinct ones).

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

Adding to 300320130000 its reverse (31023003), we get a palindrome (300351153003).

The spelling of 300320130000 in words is "three hundred billion, three hundred twenty million, one hundred thirty thousand".