Search a number
-
+
10171651921 is a prime number
BaseRepresentation
bin10010111100100011…
…10001011101010001
3222020212202110021221
421132101301131101
5131312420330141
64401153445041
7510030420604
oct113621613521
928225673257
1010171651921
11434a6a5702
121b7a570781
13c6142a662
146c6c8633b
153e7eb7bd1
hex25e471751

10171651921 has 2 divisors, whose sum is σ = 10171651922. Its totient is φ = 10171651920.

The previous prime is 10171651901. The next prime is 10171651937. The reversal of 10171651921 is 12915617101.

10171651921 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., 9923148225 + 248503696 = 99615^2 + 15764^2 .

It is an emirp because it is prime and its reverse (12915617101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10171651921 - 29 = 10171651409 is a prime.

It is not a weakly prime, because it can be changed into another prime (10171651901) 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, 5085825960 + 5085825961.

It is an arithmetic number, because the mean of its divisors is an integer number (5085825961).

Almost surely, 210171651921 is an apocalyptic number.

It is an amenable number.

10171651921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10171651921 is an equidigital number, since it uses as much as digits as its factorization.

10171651921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 34.

The spelling of 10171651921 in words is "ten billion, one hundred seventy-one million, six hundred fifty-one thousand, nine hundred twenty-one".