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34000003130541 = 3721271821201089
BaseRepresentation
bin1111011101100001111100…
…00110111110010010101101
311110101100221200021111201020
413232300332012332102231
513424024001300134131
6200151215200204353
710106263526121300
oct756607606762255
9143340850244636
1034000003130541
11a919358430748
1239915183096b9
1315c8256a92876
14857874ca2b37
153de6411a1996
hex1eec3e1be4ad

34000003130541 has 24 divisors (see below), whose sum is σ = 53149932610560. Its totient is φ = 19275592315392.

The previous prime is 34000003130501. The next prime is 34000003130579. The reversal of 34000003130541 is 14503130000043.

It is a happy number.

It is not a de Polignac number, because 34000003130541 - 221 = 34000001033389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000003130501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 910581876 + ... + 910619213.

It is an arithmetic number, because the mean of its divisors is an integer number (2214580525440).

Almost surely, 234000003130541 is an apocalyptic number.

It is an amenable number.

34000003130541 is a deficient number, since it is larger than the sum of its proper divisors (19149929480019).

34000003130541 is a wasteful number, since it uses less digits than its factorization.

34000003130541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821201233 (or 1821201226 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 34000003130541 its reverse (14503130000043), we get a palindrome (48503133130584).

The spelling of 34000003130541 in words is "thirty-four trillion, three million, one hundred thirty thousand, five hundred forty-one".

Divisors: 1 3 7 21 49 127 147 381 889 2667 6223 18669 1821201089 5463603267 12748407623 38245222869 89238853361 231292538303 267716560083 693877614909 1619047768121 4857143304363 11333334376847 34000003130541