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103303312344 = 233217417512741
BaseRepresentation
bin110000000110101011…
…0110111001111011000
3100212122101101222220100
41200031112313033120
53143031121443334
6115242404255400
710314644444511
oct1401526671730
9325571358810
10103303312344
113a8a1032601
12180300a1560
139983cb162b
144ddda5da08
152a49243c99
hex180d5b73d8

103303312344 has 192 divisors, whose sum is σ = 303977681280. Its totient is φ = 31564800000.

The previous prime is 103303312331. The next prime is 103303312363. The reversal of 103303312344 is 443213303301.

103303312344 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 0 + 3 + 312 + 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 47 ways as a sum of consecutive naturals, for example, 37686814 + ... + 37689554.

It is an arithmetic number, because the mean of its divisors is an integer number (1583217090).

Almost surely, 2103303312344 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 103303312344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151988840640).

103303312344 is an abundant number, since it is smaller than the sum of its proper divisors (200674368936).

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

103303312344 is a wasteful number, since it uses less digits than its factorization.

103303312344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 103303312344 its reverse (443213303301), we get a palindrome (546516615645).

The spelling of 103303312344 in words is "one hundred three billion, three hundred three million, three hundred twelve thousand, three hundred forty-four".