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2300030011200 = 263529747910313
BaseRepresentation
bin100001011110000100011…
…110001100011101000000
322010212210001020121100010
4201132010132030131000
5300140430140324300
64520341425224520
7325112613343545
oct41360436143500
98125701217303
102300030011200
11807489a85a29
12311917492140
13138b7967008c
147d4719a4bcc
153ec68118a50
hex2178478c740

2300030011200 has 336 divisors, whose sum is σ = 7640465978880. Its totient is φ = 605692231680.

The previous prime is 2300030011151. The next prime is 2300030011207. The reversal of 2300030011200 is 21100300032.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300030011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223017244 + ... + 223027556.

It is an arithmetic number, because the mean of its divisors is an integer number (22739482080).

Almost surely, 22300030011200 is an apocalyptic number.

2300030011200 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 2300030011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820232989440).

2300030011200 is an abundant number, since it is smaller than the sum of its proper divisors (5340435967680).

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

2300030011200 is a wasteful number, since it uses less digits than its factorization.

2300030011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10914 (or 10899 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2300030011200 its reverse (21100300032), we get a palindrome (2321130311232).

The spelling of 2300030011200 in words is "two trillion, three hundred billion, thirty million, eleven thousand, two hundred".