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541103041401 = 313179230933569
BaseRepresentation
bin1111101111111000100…
…00010010101101111001
31220201200101211120002020
413313330100102231321
532331134334311101
61052325044025053
754044015651316
oct7677420225571
91821611746066
10541103041401
111995316188aa
1288a52392189
133c0448a7450
141c2920c1d0d
15e11e3a2136
hex7dfc412b79

541103041401 has 32 divisors (see below), whose sum is σ = 781670736000. Its totient is φ = 330972960768.

The previous prime is 541103041397. The next prime is 541103041429. The reversal of 541103041401 is 104140301145.

It is a happy number.

It is not a de Polignac number, because 541103041401 - 22 = 541103041397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (541103048401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16102345 + ... + 16135913.

It is an arithmetic number, because the mean of its divisors is an integer number (24427210500).

Almost surely, 2541103041401 is an apocalyptic number.

It is an amenable number.

541103041401 is a deficient number, since it is larger than the sum of its proper divisors (240567694599).

541103041401 is a wasteful number, since it uses less digits than its factorization.

541103041401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36073.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 541103041401 its reverse (104140301145), we get a palindrome (645243342546).

The spelling of 541103041401 in words is "five hundred forty-one billion, one hundred three million, forty-one thousand, four hundred one".

Divisors: 1 3 13 39 179 537 2309 2327 6927 6981 30017 33569 90051 100707 413311 436397 1239933 1309191 5373043 6008851 16119129 18026553 77510821 78115063 232532463 234345189 1007640673 3022922019 13874436959 41623310877 180367680467 541103041401