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1003321434141 = 321353161799941
BaseRepresentation
bin11101001100110101001…
…11100010000000011101
310112220202012021202120100
432212122213202000131
5112414300241343031
62044530340211313
7132326145322335
oct16463247420035
93486665252510
101003321434141
1135756287a594
1214254a399b39
13737c7443ca0
14367bd6020c5
151b17314ede6
hexe99a9e201d

1003321434141 has 24 divisors (see below), whose sum is σ = 1590169829976. Its totient is φ = 605778975360.

The previous prime is 1003321434133. The next prime is 1003321434151. The reversal of 1003321434141 is 1414341233001.

1003321434141 is a `hidden beast` number, since 1 + 0 + 0 + 33 + 214 + 3 + 414 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 180472882041 + 822848552100 = 424821^2 + 907110^2 .

It is not a de Polignac number, because 1003321434141 - 23 = 1003321434133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003321434151) 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 23 ways as a sum of consecutive naturals, for example, 80893770 + ... + 80906171.

It is an arithmetic number, because the mean of its divisors is an integer number (66257076249).

Almost surely, 21003321434141 is an apocalyptic number.

It is an amenable number.

1003321434141 is a deficient number, since it is larger than the sum of its proper divisors (586848395835).

1003321434141 is a wasteful number, since it uses less digits than its factorization.

1003321434141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161800013 (or 161800010 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1003321434141 its reverse (1414341233001), we get a palindrome (2417662667142).

The spelling of 1003321434141 in words is "one trillion, three billion, three hundred twenty-one million, four hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 6201 161799941 485399823 1456199469 2103399233 6310197699 8575396873 18930593097 25726190619 77178571857 111480159349 334440478047 1003321434141