Search a number
-
+
10011091001 is a prime number
BaseRepresentation
bin10010101001011010…
…10010000000111001
3221211200122010010012
421110231102000321
5131000314403001
64333220231305
7503040604142
oct112455220071
927750563105
1010011091001
114277aaa92a
121b3483b535
13c370a17b2
146ad80cac9
153d8d4e2bb
hex254b52039

10011091001 has 2 divisors, whose sum is σ = 10011091002. Its totient is φ = 10011091000.

The previous prime is 10011090997. The next prime is 10011091003. The reversal of 10011091001 is 10019011001.

It is a happy number.

10011091001 is digitally balanced in base 3, 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., 8157702400 + 1853388601 = 90320^2 + 43051^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011091001 - 22 = 10011090997 is a prime.

Together with 10011091003, 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 (10011091003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005545500 + 5005545501.

It is an arithmetic number, because the mean of its divisors is an integer number (5005545501).

Almost surely, 210011091001 is an apocalyptic number.

It is an amenable number.

10011091001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011091001 is an equidigital number, since it uses as much as digits as its factorization.

10011091001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 10011091001 in words is "ten billion, eleven million, ninety-one thousand, one".