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4141003221 = 322578092213
BaseRepresentation
bin1111011011010010…
…1011000111010101
3101200121000202111200
43312310223013111
531440044100341
61522524023113
7204421642455
oct36664530725
911617022450
104141003221
111835541013
12976991a99
1350cbc0584
142b3d79d65
15193828db6
hexf6d2b1d5

4141003221 has 24 divisors (see below), whose sum is σ = 6014862360. Its totient is φ = 2745286656.

The previous prime is 4141003211. The next prime is 4141003249. The reversal of 4141003221 is 1223001414.

It can be written as a sum of positive squares in 4 ways, for example, as 3821094225 + 319908996 = 61815^2 + 17886^2 .

It is not a de Polignac number, because 4141003221 - 25 = 4141003189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4141003194 and 4141003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141003211) 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, 1870111 + ... + 1872323.

It is an arithmetic number, because the mean of its divisors is an integer number (250619265).

Almost surely, 24141003221 is an apocalyptic number.

It is an amenable number.

4141003221 is a deficient number, since it is larger than the sum of its proper divisors (1873859139).

4141003221 is a wasteful number, since it uses less digits than its factorization.

4141003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4141003221 is about 64350.6271997406. The cubic root of 4141003221 is about 1605.8384637005.

Adding to 4141003221 its reverse (1223001414), we get a palindrome (5364004635).

The spelling of 4141003221 in words is "four billion, one hundred forty-one million, three thousand, two hundred twenty-one".

Divisors: 1 3 9 257 771 809 2213 2313 2427 6639 7281 19917 207913 568741 623739 1706223 1790317 1871217 5118669 5370951 16112853 460111469 1380334407 4141003221