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3000400093 is a prime number
BaseRepresentation
bin1011001011010110…
…0111100011011101
321202002210010011101
42302311213203131
522121100300333
61213420553101
7134231660065
oct26265474335
97662703141
103000400093
1112aa713aa9
126b89b2791
1338a7c4692
142066ac3a5
1512862267d
hexb2d678dd

3000400093 has 2 divisors, whose sum is σ = 3000400094. Its totient is φ = 3000400092.

The previous prime is 3000400063. The next prime is 3000400103. The reversal of 3000400093 is 3900040003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2894762809 + 105637284 = 53803^2 + 10278^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3000400093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3000400093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000400003) 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, 1500200046 + 1500200047.

It is an arithmetic number, because the mean of its divisors is an integer number (1500200047).

Almost surely, 23000400093 is an apocalyptic number.

It is an amenable number.

3000400093 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000400093 is an equidigital number, since it uses as much as digits as its factorization.

3000400093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 3000400093 is about 54775.9079614387. The cubic root of 3000400093 is about 1442.3136823416.

Adding to 3000400093 its reverse (3900040003), we get a palindrome (6900440096).

The spelling of 3000400093 in words is "three billion, four hundred thousand, ninety-three".