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3006220141 = 37293277301
BaseRepresentation
bin1011001100101111…
…0100011101101101
321202111201210202201
42303023310131231
522124043021031
61214145421501
7134332310131
oct26313643555
97674653681
103006220141
111302a29761
126ba93a891
1338ba817b2
142073853c1
15128dc1d61
hexb32f476d

3006220141 has 8 divisors (see below), whose sum is σ = 3098017944. Its totient is φ = 2914977600.

The previous prime is 3006220103. The next prime is 3006220169. The reversal of 3006220141 is 1410226003.

It can be written as a sum of positive squares in 4 ways, for example, as 2691015625 + 315204516 = 51875^2 + 17754^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3006220141 - 217 = 3006089069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006226141) 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 7 ways as a sum of consecutive naturals, for example, 127810 + ... + 149491.

It is an arithmetic number, because the mean of its divisors is an integer number (387252243).

Almost surely, 23006220141 is an apocalyptic number.

It is an amenable number.

3006220141 is a deficient number, since it is larger than the sum of its proper divisors (91797803).

3006220141 is a wasteful number, since it uses less digits than its factorization.

3006220141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277631.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3006220141 is about 54829.0082073349. The cubic root of 3006220141 is about 1443.2456594986.

Adding to 3006220141 its reverse (1410226003), we get a palindrome (4416446144).

The spelling of 3006220141 in words is "three billion, six million, two hundred twenty thousand, one hundred forty-one".

Divisors: 1 37 293 10841 277301 10260137 81249193 3006220141