Search a number
-
+
10000010011001 is a prime number
BaseRepresentation
bin1001000110000100111100…
…0010110110000101111001
31022101222202220001212100012
42101201033002312011321
52302320010030323001
633133535143351305
72051322366421013
oct221411702660571
938358686055305
1010000010011001
113205a86a5147a
12115609b152535
13576cc62520aa
142680085b71b3
151251cac6e2bb
hex9184f0b6179

10000010011001 has 2 divisors, whose sum is σ = 10000010011002. Its totient is φ = 10000010011000.

The previous prime is 10000010010979. The next prime is 10000010011003. The reversal of 10000010011001 is 10011001000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9983956867600 + 16053143401 = 3159740^2 + 126701^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000010011001 - 242 = 5601963499897 is a prime.

Together with 10000010011003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10000010011003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005005500 + 5000005005501.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005005501).

Almost surely, 210000010011001 is an apocalyptic number.

It is an amenable number.

10000010011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000010011001 is an equidigital number, since it uses as much as digits as its factorization.

10000010011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10000010011001 its reverse (10011001000001), we get a palindrome (20011011011002).

The spelling of 10000010011001 in words is "ten trillion, ten million, eleven thousand, one".