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12301445310 = 235711171916487
BaseRepresentation
bin10110111010011100…
…10010100010111110
31011202022100011120120
423131032102202332
5200143132222220
65352354355410
7613561363020
oct133516224276
934668304516
1012301445310
115242932a30
12247388bb66
13121074a42b
14849a8a010
154bee67a40
hex2dd3928be

12301445310 has 256 divisors, whose sum is σ = 41027420160. Its totient is φ = 2279024640.

The previous prime is 12301445309. The next prime is 12301445323. The reversal of 12301445310 is 1354410321.

It is a happy number.

It is a super-2 number, since 2×123014453102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 737887 + ... + 754373.

It is an arithmetic number, because the mean of its divisors is an integer number (160263360).

Almost surely, 212301445310 is an apocalyptic number.

12301445310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301445310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20513710080).

12301445310 is an abundant number, since it is smaller than the sum of its proper divisors (28725974850).

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

12301445310 is a wasteful number, since it uses less digits than its factorization.

12301445310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16551.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12301445310 its reverse (1354410321), we get a palindrome (13655855631).

The spelling of 12301445310 in words is "twelve billion, three hundred one million, four hundred forty-five thousand, three hundred ten".