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41031443326221 = 32101136133166129
BaseRepresentation
bin10010101010001011000001…
…00110101010010100001101
312101021120022211111220112100
421111011200212222110031
520334224343442414341
6223133330154225313
711433265262464545
oct1125054046522415
9171246284456470
1041031443326221
111208a379085387
124728203425239
1319b832cc6667a
14a1bd0a91a325
154b24c6b5e3b6
hex2551609aa50d

41031443326221 has 24 divisors (see below), whose sum is σ = 59898428773560. Its totient is φ = 27063560448000.

The previous prime is 41031443326187. The next prime is 41031443326241. The reversal of 41031443326221 is 12262334413014.

41031443326221 is a `hidden beast` number, since 4 + 1 + 0 + 314 + 4 + 332 + 6 + 2 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17234744675625 + 23796698650596 = 4151475^2 + 4878186^2 .

It is not a de Polignac number, because 41031443326221 - 223 = 41031434937613 is a prime.

It is a super-2 number, since 2×410314433262212 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41031443326241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15345916 + ... + 17820213.

It is an arithmetic number, because the mean of its divisors is an integer number (2495767865565).

Almost surely, 241031443326221 is an apocalyptic number.

It is an amenable number.

41031443326221 is a deficient number, since it is larger than the sum of its proper divisors (18866985447339).

41031443326221 is a wasteful number, since it uses less digits than its factorization.

41031443326221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33167597 (or 33167594 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 41031443326221 its reverse (12262334413014), we get a palindrome (53293777739235).

The spelling of 41031443326221 in words is "forty-one trillion, thirty-one billion, four hundred forty-three million, three hundred twenty-six thousand, two hundred twenty-one".

Divisors: 1 3 9 101 303 909 1361 4083 12249 137461 412383 1237149 33166129 99498387 298495161 3349779029 10049337087 30148011261 45139101569 135417304707 406251914121 4559049258469 13677147775407 41031443326221