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2300112000000 = 210325615973
BaseRepresentation
bin100001011110001001010…
…110111101010000000000
322010212222202112001211100
4201132021112331100000
5300141112133000000
64520353514414400
7325114630262133
oct41361126752000
98125882461740
102300112000000
11807521295371
1231193aa31400
13138b90648769
147d47c82821a
153ec70411a00
hex217895bd400

2300112000000 has 462 divisors, whose sum is σ = 8302317830534. Its totient is φ = 613324800000.

The previous prime is 2300111999971. The next prime is 2300112000029. The reversal of 2300112000000 is 2110032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2300111999971) and next prime (2300112000029).

It can be written as a sum of positive squares in 7 ways, for example, as 2279182012416 + 20929987584 = 1509696^2 + 144672^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 143992014 + ... + 144007986.

Almost surely, 22300112000000 is an apocalyptic number.

2300112000000 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 2300112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151158915267).

2300112000000 is an abundant number, since it is smaller than the sum of its proper divisors (6002205830534).

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

2300112000000 is an frugal number, since it uses more digits than its factorization.

2300112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16029 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2300112000000 its reverse (2110032), we get a palindrome (2300114110032).

The spelling of 2300112000000 in words is "two trillion, three hundred billion, one hundred twelve million", and thus it is an aban number.