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2003420305305 = 3251109340711783
BaseRepresentation
bin11101001001110101001…
…001111101011110011001
321002112011210202100210100
4131021311021331132121
5230311001044232210
64132205242010013
7264512423422446
oct35116511753631
97075153670710
102003420305305
11702711595891
122843394a6909
13116bca049573
146cd74c249cd
15371a83e65c0
hex1d27527d799

2003420305305 has 48 divisors (see below), whose sum is σ = 3477041717760. Its totient is φ = 1067123451264.

The previous prime is 2003420305303. The next prime is 2003420305331. The reversal of 2003420305305 is 5035030243002.

2003420305305 is a `hidden beast` number, since 2 + 0 + 0 + 34 + 20 + 305 + 305 = 666.

It is not a de Polignac number, because 2003420305305 - 21 = 2003420305303 is a prime.

It is a super-2 number, since 2×20034203053052 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2003420305303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170020444 + ... + 170032226.

It is an arithmetic number, because the mean of its divisors is an integer number (72438369120).

Almost surely, 22003420305305 is an apocalyptic number.

It is an amenable number.

2003420305305 is a deficient number, since it is larger than the sum of its proper divisors (1473621412455).

2003420305305 is a wasteful number, since it uses less digits than its factorization.

2003420305305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16310 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 2003420305305 its reverse (5035030243002), we get a palindrome (7038450548307).

The spelling of 2003420305305 in words is "two trillion, three billion, four hundred twenty million, three hundred five thousand, three hundred five".

Divisors: 1 3 5 9 15 45 1109 3327 3407 5545 9981 10221 11783 16635 17035 30663 35349 49905 51105 58915 106047 153315 176745 530235 3778363 11335089 13067347 18891815 34005267 39202041 40144681 56675445 65336735 117606123 120434043 170026335 196010205 200723405 361302129 588030615 602170215 1806510645 44520451229 133561353687 222602256145 400684061061 667806768435 2003420305305