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5105332531341 = 327892719733479
BaseRepresentation
bin100101001001010110110…
…0010000011000010001101
3200002001202101212010110200
41022102231202003002031
51132121210112000331
614505205110124113
71034563620335220
oct112225542030215
920061671763420
105105332531341
111699183133359
126a5545650639
132b057a5b05a3
14139156b095b7
158cc04b9a5e6
hex4a4ad88308d

5105332531341 has 48 divisors (see below), whose sum is σ = 8523113414400. Its totient is φ = 2884361635584.

The previous prime is 5105332531333. The next prime is 5105332531349. The reversal of 5105332531341 is 1431352335015.

5105332531341 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 332 + 5 + 313 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (5105332531333) and next prime (5105332531349).

It is not a de Polignac number, because 5105332531341 - 23 = 5105332531333 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5105332531296 and 5105332531305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105332531349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152476840 + ... + 152510318.

It is an arithmetic number, because the mean of its divisors is an integer number (177564862800).

Almost surely, 25105332531341 is an apocalyptic number.

It is an amenable number.

5105332531341 is a deficient number, since it is larger than the sum of its proper divisors (3417780883059).

5105332531341 is a wasteful number, since it uses less digits than its factorization.

5105332531341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60778 (or 60775 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 5105332531341 its reverse (1431352335015), we get a palindrome (6536684866356).

The spelling of 5105332531341 in words is "five trillion, one hundred five billion, three hundred thirty-two million, five hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 63 89 267 623 801 1869 5607 27197 33479 81591 100437 190379 234353 244773 301311 571137 703059 1713411 2109177 2420533 2979631 7261599 8938893 16943731 20857417 21784797 26816679 50831193 62572251 152493579 187716753 910528363 2731585089 6373698541 8194755267 19121095623 57363286869 81037024307 243111072921 567259170149 729333218763 1701777510447 5105332531341