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3006131201 is a prime number
BaseRepresentation
bin1011001100101101…
…1110110000000001
321202111120021202122
42303023132300001
522124032144301
61214143454025
7134331456623
oct26313366001
97674507678
103006131201
111302978957
126ba8b7315
1338ba50178
14207360c13
15128da581b
hexb32dec01

3006131201 has 2 divisors, whose sum is σ = 3006131202. Its totient is φ = 3006131200.

The previous prime is 3006131159. The next prime is 3006131269. The reversal of 3006131201 is 1021316003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3001396225 + 4734976 = 54785^2 + 2176^2 .

It is an emirp because it is prime and its reverse (1021316003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3006131201 - 210 = 3006130177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3006131201.

It is not a weakly prime, because it can be changed into another prime (3006131501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1503065600 + 1503065601.

It is an arithmetic number, because the mean of its divisors is an integer number (1503065601).

Almost surely, 23006131201 is an apocalyptic number.

It is an amenable number.

3006131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3006131201 is an equidigital number, since it uses as much as digits as its factorization.

3006131201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3006131201 is about 54828.1971343213. The cubic root of 3006131201 is about 1443.2314263943.

Adding to 3006131201 its reverse (1021316003), we get a palindrome (4027447204).

The spelling of 3006131201 in words is "three billion, six million, one hundred thirty-one thousand, two hundred one".