Search a number
-
+
10000011010501 is a prime number
BaseRepresentation
bin1001000110000100111100…
…0110101010000111000101
31022101222202221221122101201
42101201033012222013011
52302320010304314001
633133535221022501
72051322411053011
oct221411706520705
938358687848351
1010000011010501
113205a87574406
12115609b554a31
13576cc6512005
14268008797541
151251cadba501
hex9184f1aa1c5

10000011010501 has 2 divisors, whose sum is σ = 10000011010502. Its totient is φ = 10000011010500.

The previous prime is 10000011010463. The next prime is 10000011010529. The reversal of 10000011010501 is 10501011000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9761412954276 + 238598056225 = 3124326^2 + 488465^2 .

It is an emirp because it is prime and its reverse (10501011000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000011010501 - 211 = 10000011008453 is a prime.

It is a super-2 number, since 2×100000110105012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000011010901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005505250 + 5000005505251.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005505251).

Almost surely, 210000011010501 is an apocalyptic number.

It is an amenable number.

10000011010501 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000011010501 is an equidigital number, since it uses as much as digits as its factorization.

10000011010501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 10000011010501 its reverse (10501011000001), we get a palindrome (20501022010502).

The spelling of 10000011010501 in words is "ten trillion, eleven million, ten thousand, five hundred one".