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241041012 = 2232361103139
BaseRepresentation
bin11100101110111…
…11111001110100
3121210120011002220
432113133321310
5443201303022
635530202340
75654546322
oct1627377164
9553504086
10241041012
11114074753
12688833b0
133ac26924
1424026d12
151626485c
hexe5dfe74

241041012 has 96 divisors (see below), whose sum is σ = 606627840. Its totient is φ = 74321280.

The previous prime is 241040971. The next prime is 241041013. The reversal of 241041012 is 210140142.

241041012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 241040982 and 241041000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241041013) 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 31 ways as a sum of consecutive naturals, for example, 1734039 + ... + 1734177.

It is an arithmetic number, because the mean of its divisors is an integer number (6319040).

Almost surely, 2241041012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241041012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303313920).

241041012 is an abundant number, since it is smaller than the sum of its proper divisors (365586828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241041012 is a wasteful number, since it uses less digits than its factorization.

241041012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 241041012 is about 15525.4955476468. The cubic root of 241041012 is about 622.3437236132.

Adding to 241041012 its reverse (210140142), we get a palindrome (451181154).

The spelling of 241041012 in words is "two hundred forty-one million, forty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 103 122 138 139 183 206 244 276 278 309 366 412 417 556 618 732 834 1236 1403 1668 2369 2806 3197 4209 4738 5612 6283 6394 7107 8418 8479 9476 9591 12566 12788 14214 14317 16836 16958 18849 19182 25132 25437 28428 28634 33916 37698 38364 42951 50874 57268 75396 85902 101748 144509 171804 195017 289018 329291 390034 433527 578036 585051 658582 780068 867054 873337 987873 1170102 1317164 1734108 1746674 1975746 2340204 2620011 3493348 3951492 5240022 10480044 20086751 40173502 60260253 80347004 120520506 241041012