Search a number
-
+
1000301117 is a prime number
BaseRepresentation
bin111011100111110…
…110001000111101
32120201020120011112
4323213312020331
54022034113432
6243131531405
733534263534
oct7347661075
92521216145
101000301117
1147370a042
1223abb9b65
1312c31426a
1496bc931b
155cc407b2
hex3b9f623d

1000301117 has 2 divisors, whose sum is σ = 1000301118. Its totient is φ = 1000301116.

The previous prime is 1000301077. The next prime is 1000301123. The reversal of 1000301117 is 7111030001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 637360516 + 362940601 = 25246^2 + 19051^2 .

It is an emirp because it is prime and its reverse (7111030001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000301117 - 26 = 1000301053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000301017) 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, 500150558 + 500150559.

It is an arithmetic number, because the mean of its divisors is an integer number (500150559).

Almost surely, 21000301117 is an apocalyptic number.

It is an amenable number.

1000301117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000301117 is an equidigital number, since it uses as much as digits as its factorization.

1000301117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 14.

The square root of 1000301117 is about 31627.5373211384. The cubic root of 1000301117 is about 1000.1003622604.

Adding to 1000301117 its reverse (7111030001), we get a palindrome (8111331118).

The spelling of 1000301117 in words is "one billion, three hundred one thousand, one hundred seventeen".