Search a number
-
+
3006366131 is a prime number
BaseRepresentation
bin1011001100110001…
…1000000110110011
321202112000020000202
42303030120012303
522124112204011
61214152505415
7134333455556
oct26314300663
97675006022
103006366131
11130301940a
126ba9ab26b
1338bb03092
142073c269d
15128e0023b
hexb33181b3

3006366131 has 2 divisors, whose sum is σ = 3006366132. Its totient is φ = 3006366130.

The previous prime is 3006366127. The next prime is 3006366137. The reversal of 3006366131 is 1316636003.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 3006366131 - 22 = 3006366127 is a prime.

It is a super-2 number, since 2×30063661312 = 18076474627247818322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 3006366094 and 3006366103.

It is not a weakly prime, because it can be changed into another prime (3006366137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1503183065 + 1503183066.

It is an arithmetic number, because the mean of its divisors is an integer number (1503183066).

Almost surely, 23006366131 is an apocalyptic number.

3006366131 is a deficient number, since it is larger than the sum of its proper divisors (1).

3006366131 is an equidigital number, since it uses as much as digits as its factorization.

3006366131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 3006366131 is about 54830.3395119892. The cubic root of 3006366131 is about 1443.2690217291.

The spelling of 3006366131 in words is "three billion, six million, three hundred sixty-six thousand, one hundred thirty-one".