Search a number
-
+
10226978701 is a prime number
BaseRepresentation
bin10011000011001001…
…10100111110001101
3222101201212100100221
421201210310332031
5131421101304301
64410451351341
7511301612302
oct114144647615
928351770327
1010226978701
114378954515
121b94bb2551
13c6ca2c4b4
146d03690a9
153ecc95da1
hex261934f8d

10226978701 has 2 divisors, whose sum is σ = 10226978702. Its totient is φ = 10226978700.

The previous prime is 10226978653. The next prime is 10226978743. The reversal of 10226978701 is 10787962201.

10226978701 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., 7872303076 + 2354675625 = 88726^2 + 48525^2 .

It is an emirp because it is prime and its reverse (10787962201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10226978701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10226978791) 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, 5113489350 + 5113489351.

It is an arithmetic number, because the mean of its divisors is an integer number (5113489351).

Almost surely, 210226978701 is an apocalyptic number.

It is an amenable number.

10226978701 is a deficient number, since it is larger than the sum of its proper divisors (1).

10226978701 is an equidigital number, since it uses as much as digits as its factorization.

10226978701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 10226978701 in words is "ten billion, two hundred twenty-six million, nine hundred seventy-eight thousand, seven hundred one".