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2300323200000 = 210355734231
BaseRepresentation
bin100001011110010101111…
…100100111110000000000
322010220112110221010202120
4201132111330213300000
5300142030214400000
64520430501244240
7325123103404440
oct41362574476000
98126473833676
102300323200000
1180761a528021
12311999703680
13138bc5324887
147d49c8c4120
153ec83c2e6a0
hex21795f27c00

2300323200000 has 528 divisors, whose sum is σ = 8758552416768. Its totient is φ = 525772800000.

The previous prime is 2300323199969. The next prime is 2300323200017. The reversal of 2300323200000 is 23230032.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 67182885 + ... + 67217115.

It is an arithmetic number, because the mean of its divisors is an integer number (16588167456).

Almost surely, 22300323200000 is an apocalyptic number.

2300323200000 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 2300323200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379276208384).

2300323200000 is an abundant number, since it is smaller than the sum of its proper divisors (6458229216768).

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

2300323200000 is an frugal number, since it uses more digits than its factorization.

2300323200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34286 (or 34248 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 2300323200000 its reverse (23230032), we get a palindrome (2300346430032).

The spelling of 2300323200000 in words is "two trillion, three hundred billion, three hundred twenty-three million, two hundred thousand".