Search a number
-
+
10217476909 is a prime number
BaseRepresentation
bin10011000010000001…
…00101001100101101
3222101001222121100201
421201000211030231
5131411133230114
64405511553501
7511125056263
oct114100451455
928331877321
1010217476909
1143735546a2
121b9198b891
13c6aa83633
146ccdb4433
153ec01a874
hex26102532d

10217476909 has 2 divisors, whose sum is σ = 10217476910. Its totient is φ = 10217476908.

The previous prime is 10217476903. The next prime is 10217476931. The reversal of 10217476909 is 90967471201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10035631684 + 181845225 = 100178^2 + 13485^2 .

It is an emirp because it is prime and its reverse (90967471201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10217476909 - 25 = 10217476877 is a prime.

It is a super-3 number, since 3×102174769093 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10217476903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5108738454 + 5108738455.

It is an arithmetic number, because the mean of its divisors is an integer number (5108738455).

Almost surely, 210217476909 is an apocalyptic number.

It is an amenable number.

10217476909 is a deficient number, since it is larger than the sum of its proper divisors (1).

10217476909 is an equidigital number, since it uses as much as digits as its factorization.

10217476909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 190512, while the sum is 46.

The spelling of 10217476909 in words is "ten billion, two hundred seventeen million, four hundred seventy-six thousand, nine hundred nine".