Search a number
-
+
10011001320101 is a prime number
BaseRepresentation
bin1001000110101101111000…
…1011010111001010100101
31022110001010220011012220102
42101223132023113022211
52303010012314220401
633142553541313445
72052161642125655
oct221533613271245
938401126135812
1010011001320101
11320a707293701
121158248105885
135780584259a2
1426876c264365
15125620b9356b
hex91ade2d72a5

10011001320101 has 2 divisors, whose sum is σ = 10011001320102. Its totient is φ = 10011001320100.

The previous prime is 10011001320083. The next prime is 10011001320191. The reversal of 10011001320101 is 10102310011001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9505197302500 + 505804017601 = 3083050^2 + 711199^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011001320101 - 226 = 10010934211237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011001320191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005500660050 + 5005500660051.

It is an arithmetic number, because the mean of its divisors is an integer number (5005500660051).

Almost surely, 210011001320101 is an apocalyptic number.

It is an amenable number.

10011001320101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011001320101 is an equidigital number, since it uses as much as digits as its factorization.

10011001320101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10011001320101 its reverse (10102310011001), we get a palindrome (20113311331102).

The spelling of 10011001320101 in words is "ten trillion, eleven billion, one million, three hundred twenty thousand, one hundred one".