Search a number
-
+
100030101007 is a prime number
BaseRepresentation
bin101110100101001000…
…0100011011000001111
3100120012021021122001211
41131022100203120033
53114330201213012
6113541520115251
710140560554354
oct1351220433017
9316167248054
10100030101007
1139471425471
1217477a65b27
139581b1b6a5
144bad05862b
152906bd36a7
hex174a42360f

100030101007 has 2 divisors, whose sum is σ = 100030101008. Its totient is φ = 100030101006.

The previous prime is 100030100971. The next prime is 100030101011. The reversal of 100030101007 is 700101030001.

It is a strong prime.

It is an emirp because it is prime and its reverse (700101030001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100030101007 is a prime.

It is a super-2 number, since 2×1000301010072 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100030101037) 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, 50015050503 + 50015050504.

It is an arithmetic number, because the mean of its divisors is an integer number (50015050504).

Almost surely, 2100030101007 is an apocalyptic number.

100030101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100030101007 is an equidigital number, since it uses as much as digits as its factorization.

100030101007 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 13.

Adding to 100030101007 its reverse (700101030001), we get a palindrome (800131131008).

The spelling of 100030101007 in words is "one hundred billion, thirty million, one hundred one thousand, seven".