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2305150114120 = 235728916381071
BaseRepresentation
bin100001100010110101101…
…001110101100101001000
322011100222212121210010121
4201202311221311211020
5300231421412122440
64522545450553024
7325353524451400
oct41426551654510
98140885553117
102305150114120
11809677165047
12312906138774
131394b4360689
147d7d99ab800
153ee6789634a
hex218b5a75948

2305150114120 has 192 divisors, whose sum is σ = 6138674553600. Its totient is φ = 776653194240.

The previous prime is 2305150114067. The next prime is 2305150114121. The reversal of 2305150114120 is 214110515032.

It is not an unprimeable number, because it can be changed into a prime (2305150114121) 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 47 ways as a sum of consecutive naturals, for example, 28393185 + ... + 28474255.

It is an arithmetic number, because the mean of its divisors is an integer number (31972263300).

Almost surely, 22305150114120 is an apocalyptic number.

2305150114120 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 2305150114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069337276800).

2305150114120 is an abundant number, since it is smaller than the sum of its proper divisors (3833524439480).

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

2305150114120 is a wasteful number, since it uses less digits than its factorization.

2305150114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81348 (or 81337 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 2305150114120 its reverse (214110515032), we get a palindrome (2519260629152).

The spelling of 2305150114120 in words is "two trillion, three hundred five billion, one hundred fifty million, one hundred fourteen thousand, one hundred twenty".