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3000413131 is a prime number
BaseRepresentation
bin1011001011010110…
…1010101111001011
321202002210210001021
42302311222233023
522121101210011
61213421133311
7134232043102
oct26265525713
97662723037
103000413131
1112aa722881
126b89ba237
1338a7ca5b1
142066b3039
15128626471
hexb2d6abcb

3000413131 has 2 divisors, whose sum is σ = 3000413132. Its totient is φ = 3000413130.

The previous prime is 3000413099. The next prime is 3000413137. The reversal of 3000413131 is 1313140003.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3000413131 - 25 = 3000413099 is a prime.

It is a super-2 number, since 2×30004131312 = 18004957913354446322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3000413137) 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 as a sum of consecutive naturals, namely, 1500206565 + 1500206566.

It is an arithmetic number, because the mean of its divisors is an integer number (1500206566).

Almost surely, 23000413131 is an apocalyptic number.

3000413131 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000413131 is an equidigital number, since it uses as much as digits as its factorization.

3000413131 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 16.

The square root of 3000413131 is about 54776.0269734854. The cubic root of 3000413131 is about 1442.3157714917.

Adding to 3000413131 its reverse (1313140003), we get a palindrome (4313553134).

The spelling of 3000413131 in words is "three billion, four hundred thirteen thousand, one hundred thirty-one".