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103330240344 = 2332172947241257
BaseRepresentation
bin110000000111011110…
…1100101011101011000
3100212201021002002011200
41200032331211131120
53143110020142334
6115245205354200
710315422360012
oct1401675453530
9325637062150
10103330240344
113a905254a51
1218039108960
13998974c266
14500346d1b2
152a4b7b2799
hex180ef65758

103330240344 has 384 divisors, whose sum is σ = 315576518400. Its totient is φ = 30387732480.

The previous prime is 103330240333. The next prime is 103330240417. The reversal of 103330240344 is 443042033301.

103330240344 is a `hidden beast` number, since 10 + 3 + 3 + 302 + 4 + 0 + 344 = 666.

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 95 ways as a sum of consecutive naturals, for example, 402063064 + ... + 402063320.

It is an arithmetic number, because the mean of its divisors is an integer number (821813850).

Almost surely, 2103330240344 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 103330240344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157788259200).

103330240344 is an abundant number, since it is smaller than the sum of its proper divisors (212246278056).

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

103330240344 is a wasteful number, since it uses less digits than its factorization.

103330240344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 103330240344 its reverse (443042033301), we get a palindrome (546372273645).

The spelling of 103330240344 in words is "one hundred three billion, three hundred thirty million, two hundred forty thousand, three hundred forty-four".