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1003341120201 = 3271937197114997
BaseRepresentation
bin11101001100110111100…
…10101000001011001001
310112220210120022220202200
432212123302220023021
5112414320311321301
62044532322150413
7132326504543160
oct16463362501311
93486716286680
101003341120201
113575729a5a62
12142554ab2409
13737cb547544
14367c20883d7
151b174c3cc86
hexe99bca82c9

1003341120201 has 96 divisors (see below), whose sum is σ = 1799709500160. Its totient is φ = 525794830848.

The previous prime is 1003341120167. The next prime is 1003341120253. The reversal of 1003341120201 is 1020211433001.

1003341120201 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 341 + 120 + 201 = 666.

1003341120201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1003341120201 - 213 = 1003341112009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1003341120101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8667435 + ... + 8782431.

It is an arithmetic number, because the mean of its divisors is an integer number (18746973960).

Almost surely, 21003341120201 is an apocalyptic number.

It is an amenable number.

1003341120201 is a deficient number, since it is larger than the sum of its proper divisors (796368379959).

1003341120201 is a wasteful number, since it uses less digits than its factorization.

1003341120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115263 (or 115260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1003341120201 its reverse (1020211433001), we get a palindrome (2023552553202).

The spelling of 1003341120201 in words is "one trillion, three billion, three hundred forty-one million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 7 9 19 21 37 57 63 111 133 171 197 259 333 399 591 703 777 1197 1379 1773 2109 2331 3743 4137 4921 6327 7289 11229 12411 14763 21867 26201 33687 44289 51023 65601 78603 114997 138491 153069 235809 344991 415473 459207 804979 969437 1034973 1246419 2184943 2414937 2908311 4254889 6554829 7244811 8724933 12764667 15294601 19664487 22654409 29784223 38294001 45883803 67963227 80842891 89352669 137651409 158580863 203889681 242528673 268058007 430433771 475742589 565900237 727586019 838213133 1291301313 1427227767 1697700711 2514639399 3013036397 3873903939 5093102133 5867491931 7543918197 9039109191 15926049527 17602475793 27117327573 47778148581 52807427379 111482346689 143334445743 334447040067 1003341120201