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41013245352131 = 1317271091535587
BaseRepresentation
bin10010101001101001000111…
…11010111001100011000011
312101012211100120211001002222
421110310203322321203003
520333430111302232011
6223121120320401255
711432052311323523
oct1124644372714303
9171184316731088
1041013245352131
111208268a874078
124724784a7622b
1319b66bca0ac70
14a1b0a1ab7683
154b1cae1ebddb
hex254d23eb98c3

41013245352131 has 24 divisors (see below), whose sum is σ = 46925695862640. Its totient is φ = 35626381420032.

The previous prime is 41013245352119. The next prime is 41013245352151. The reversal of 41013245352131 is 13125354231014.

41013245352131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-41013245352131 is a prime.

It is a super-2 number, since 2×410132453521312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41013245352091 and 41013245352100.

It is not an unprimeable number, because it can be changed into a prime (41013245352151) 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 23 ways as a sum of consecutive naturals, for example, 25940720 + ... + 27476306.

It is an arithmetic number, because the mean of its divisors is an integer number (1955237327610).

Almost surely, 241013245352131 is an apocalyptic number.

41013245352131 is a deficient number, since it is larger than the sum of its proper divisors (5912450510509).

41013245352131 is a wasteful number, since it uses less digits than its factorization.

41013245352131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542743 (or 1542726 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 41013245352131 its reverse (13125354231014), we get a palindrome (54138599583145).

The spelling of 41013245352131 in words is "forty-one trillion, thirteen billion, two hundred forty-five million, three hundred fifty-two thousand, one hundred thirty-one".

Divisors: 1 13 17 221 289 3757 7109 92417 120853 1535587 1571089 2054501 19962631 26104979 26708513 339364727 443784643 5769200359 10916487983 141914343779 185580295711 2412543844243 3154865027087 41013245352131