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2541414002103 = 322313339920411
BaseRepresentation
bin100100111110111000000…
…101000010110110110111
322222221211111210211221100
4210332320011002312313
5313114303441031403
65223302014021143
7351416415406344
oct44767005026667
98887744724840
102541414002103
1189a897a49aa9
123506624a77b3
131558676a6522
148b00dd997cb
15461948062a3
hex24fb8142db7

2541414002103 has 24 divisors (see below), whose sum is σ = 3830828376960. Its totient is φ = 1620488572560.

The previous prime is 2541414002069. The next prime is 2541414002143. The reversal of 2541414002103 is 3012004141452.

2541414002103 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 41 + 400 + 210 + 3 = 666.

It is not a de Polignac number, because 2541414002103 - 29 = 2541414001591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541414002143) 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, 2300968 + ... + 3221378.

It is an arithmetic number, because the mean of its divisors is an integer number (159617849040).

Almost surely, 22541414002103 is an apocalyptic number.

2541414002103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2541414002103 is a deficient number, since it is larger than the sum of its proper divisors (1289414374857).

2541414002103 is a wasteful number, since it uses less digits than its factorization.

2541414002103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933779 (or 933776 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2541414002103 its reverse (3012004141452), we get a palindrome (5553418143555).

The spelling of 2541414002103 in words is "two trillion, five hundred forty-one billion, four hundred fourteen million, two thousand, one hundred three".

Divisors: 1 3 9 23 69 207 13339 40017 120051 306797 920391 920411 2761173 2761233 8283699 21169453 63508359 190525077 12277362329 36832086987 110496260961 282379333567 847138000701 2541414002103