Search a number
-
+
10001301001 is a prime number
BaseRepresentation
bin10010101000001111…
…11011111000001001
3221211000012201202121
421110013323320021
5130440313113001
64332230331241
7502561440646
oct112407737011
927730181677
1010001301001
11427252351a
121b314b9b21
13c350546b3
146ac3c0dcd
153d80686a1
hex2541fbe09

10001301001 has 2 divisors, whose sum is σ = 10001301002. Its totient is φ = 10001301000.

The previous prime is 10001300977. The next prime is 10001301019. The reversal of 10001301001 is 10010310001.

It is a happy number.

10001301001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9613998601 + 387302400 = 98051^2 + 19680^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001301001 - 219 = 10000776713 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001301031) 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, 5000650500 + 5000650501.

It is an arithmetic number, because the mean of its divisors is an integer number (5000650501).

Almost surely, 210001301001 is an apocalyptic number.

It is an amenable number.

10001301001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001301001 is an equidigital number, since it uses as much as digits as its factorization.

10001301001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10001301001 its reverse (10010310001), we get a palindrome (20011611002).

The spelling of 10001301001 in words is "ten billion, one million, three hundred one thousand, one".