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2300131311324 = 223711231139291031
BaseRepresentation
bin100001011110001010100…
…000100111111011011100
322010220001002212011222120
4201132022200213323130
5300141132103430244
64520355444342540
7325115253362310
oct41361240477334
98126032764876
102300131311324
11807531185240
123119453a4a50
13138b9464a592
147d481213b40
153ec71e78819
hex2178a827edc

2300131311324 has 384 divisors, whose sum is σ = 7058428231680. Its totient is φ = 565245542400.

The previous prime is 2300131311323. The next prime is 2300131311391. The reversal of 2300131311324 is 4231131310032.

2300131311324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2300131311294 and 2300131311303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300131311323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2230970689 + ... + 2230971719.

It is an arithmetic number, because the mean of its divisors is an integer number (18381323520).

Almost surely, 22300131311324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300131311324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529214115840).

2300131311324 is an abundant number, since it is smaller than the sum of its proper divisors (4758296920356).

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

2300131311324 is a wasteful number, since it uses less digits than its factorization.

2300131311324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2300131311324 its reverse (4231131310032), we get a palindrome (6531262621356).

The spelling of 2300131311324 in words is "two trillion, three hundred billion, one hundred thirty-one million, three hundred eleven thousand, three hundred twenty-four".