Search a number
-
+
3331222033041 = 327237549304541
BaseRepresentation
bin110000011110011100010…
…011100101001010010001
3102210110110120221220202100
4300132130103211022101
5414034320320024131
611030201533111013
7462446534041020
oct60363423451221
912713416856670
103331222033041
111074843aa1571
12459743628469
131b2195c60976
14b73368aa8b7
155b9bce6a7e6
hex3079c4e5291

3331222033041 has 48 divisors (see below), whose sum is σ = 5739033081600. Its totient is φ = 1820544992640.

The previous prime is 3331222033031. The next prime is 3331222033057. The reversal of 3331222033041 is 1403302221333.

3331222033041 is a `hidden beast` number, since 3 + 33 + 122 + 203 + 304 + 1 = 666.

3331222033041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3331222033041 - 26 = 3331222032977 is a prime.

It is a super-2 number, since 2×33312220330412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3331222032996 and 3331222033014.

It is not an unprimeable number, because it can be changed into a prime (3331222033021) 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 47 ways as a sum of consecutive naturals, for example, 10786231 + ... + 11090771.

It is an arithmetic number, because the mean of its divisors is an integer number (119563189200).

Almost surely, 23331222033041 is an apocalyptic number.

It is an amenable number.

3331222033041 is a deficient number, since it is larger than the sum of its proper divisors (2407811048559).

3331222033041 is a wasteful number, since it uses less digits than its factorization.

3331222033041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312126 (or 312123 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3331222033041 its reverse (1403302221333), we get a palindrome (4734524254374).

The spelling of 3331222033041 in words is "three trillion, three hundred thirty-one billion, two hundred twenty-two million, thirty-three thousand, forty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 7549 22647 52843 67941 158529 173627 304541 475587 520881 913623 1215389 1562643 2131787 2740869 3646167 6395361 7004443 10938501 19186083 21013329 49031101 63039987 147093303 441279909 2298980009 6896940027 16092860063 20690820081 48278580189 52876540207 144835740567 158629620621 370135781449 475888861863 1110407344347 3331222033041