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3005013131 is a prime number
BaseRepresentation
bin1011001100011100…
…1101110010001011
321202102110111001122
42303013031302023
522123240410011
61214103505455
7134316122141
oct26307156213
97672414048
103005013131
11130228492a
126ba45828b
1338b74b2a3
1420714d591
15128c343db
hexb31cdc8b

3005013131 has 2 divisors, whose sum is σ = 3005013132. Its totient is φ = 3005013130.

The previous prime is 3005013119. The next prime is 3005013169. The reversal of 3005013131 is 1313105003.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3005013131 is a prime.

It is a super-2 number, since 2×30050131312 = 18060207834964846322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3005013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502506565 + 1502506566.

It is an arithmetic number, because the mean of its divisors is an integer number (1502506566).

Almost surely, 23005013131 is an apocalyptic number.

3005013131 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005013131 is an equidigital number, since it uses as much as digits as its factorization.

3005013131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 3005013131 is about 54818.0000638476. Note that the first 4 decimals coincide. The cubic root of 3005013131 is about 1443.0524772459.

Adding to 3005013131 its reverse (1313105003), we get a palindrome (4318118134).

The spelling of 3005013131 in words is "three billion, five million, thirteen thousand, one hundred thirty-one".