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12003321033101 = 613894133122393
BaseRepresentation
bin1010111010101011110110…
…1011111011000110001101
31120111111200002012001202102
42232222331223323012031
53033130300141024401
641310125523204445
72346132325225526
oct256527553730615
946444602161672
1012003321033101
113908641885162
12141a3a7b16725
13690ba6757628
142d6d6cab184d
1515c37977a56b
hexaeabdafb18d

12003321033101 has 16 divisors (see below), whose sum is σ = 12234518927280. Its totient is φ = 11773248760320.

The previous prime is 12003321033097. The next prime is 12003321033113. The reversal of 12003321033101 is 10133012330021.

It can be written as a sum of positive squares in 8 ways, for example, as 1490228121001 + 10513092912100 = 1220749^2 + 3242390^2 .

It is a cyclic number.

It is not a de Polignac number, because 12003321033101 - 22 = 12003321033097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003321033131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98010761 + ... + 98133153.

It is an arithmetic number, because the mean of its divisors is an integer number (764657432955).

Almost surely, 212003321033101 is an apocalyptic number.

It is an amenable number.

12003321033101 is a deficient number, since it is larger than the sum of its proper divisors (231197894179).

12003321033101 is a wasteful number, since it uses less digits than its factorization.

12003321033101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126976.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12003321033101 its reverse (10133012330021), we get a palindrome (22136333363122).

The spelling of 12003321033101 in words is "twelve trillion, three billion, three hundred twenty-one million, thirty-three thousand, one hundred one".

Divisors: 1 61 389 4133 23729 122393 252113 1607737 7465973 47610877 98071957 505850269 2904263497 30856866409 196775754641 12003321033101