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2300231130000 = 24354209936529
BaseRepresentation
bin100001011110010000011…
…101011001101110010000
322010220022001200111110120
4201132100131121232100
5300141333132130000
64520413412030240
7325120605000666
oct41362035315620
98126261614416
102300231130000
11807582562511
12311972902380
13138bac22969b
147d490598c36
153ec7aae46a0
hex21790759b90

2300231130000 has 200 divisors, whose sum is σ = 7429193772000. Its totient is φ = 613085952000.

The previous prime is 2300231129971. The next prime is 2300231130007. The reversal of 2300231130000 is 311320032.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×23002311300003 (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2300231130007) 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 39 ways as a sum of consecutive naturals, for example, 62951736 + ... + 62988264.

It is an arithmetic number, because the mean of its divisors is an integer number (37145968860).

Almost surely, 22300231130000 is an apocalyptic number.

2300231130000 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 2300231130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714596886000).

2300231130000 is an abundant number, since it is smaller than the sum of its proper divisors (5128962642000).

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

2300231130000 is a wasteful number, since it uses less digits than its factorization.

2300231130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38659 (or 38638 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2300231130000 its reverse (311320032), we get a palindrome (2300542450032).

The spelling of 2300231130000 in words is "two trillion, three hundred billion, two hundred thirty-one million, one hundred thirty thousand".