Search a number
-
+
3001083201 = 323137106297
BaseRepresentation
bin1011001011100000…
…1110010101000001
321202011001211012200
42302320032111001
522121234130301
61213443343413
7134240533464
oct26270162501
97664054180
103001083201
111300040256
126b9081b69
1338a9a359c
142068092db
15128709c86
hexb2e0e541

3001083201 has 12 divisors (see below), whose sum is σ = 4336320612. Its totient is φ = 2000065536.

The previous prime is 3001083199. The next prime is 3001083233. The reversal of 3001083201 is 1023801003.

It can be written as a sum of positive squares in 2 ways, for example, as 2662560000 + 338523201 = 51600^2 + 18399^2 .

It is not a de Polignac number, because 3001083201 - 21 = 3001083199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3001083271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24916 + ... + 81381.

It is an arithmetic number, because the mean of its divisors is an integer number (361360051).

Almost surely, 23001083201 is an apocalyptic number.

It is an amenable number.

3001083201 is a deficient number, since it is larger than the sum of its proper divisors (1335237411).

3001083201 is a wasteful number, since it uses less digits than its factorization.

3001083201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109440 (or 109437 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3001083201 is about 54782.1430851331. The cubic root of 3001083201 is about 1442.4231323284.

Adding to 3001083201 its reverse (1023801003), we get a palindrome (4024884204).

The spelling of 3001083201 in words is "three billion, one million, eighty-three thousand, two hundred one".

Divisors: 1 3 9 3137 9411 28233 106297 318891 956673 333453689 1000361067 3001083201