Search a number
-
+
10171215361 is a prime number
BaseRepresentation
bin10010111100100000…
…00110111000000001
3222020211221021110001
421132100012320001
5131312312342421
64401140240001
7510023622046
oct113620067001
928224837401
1010171215361
11434a42770a
121b7a3a0001
13c61306a38
146c6bb11cd
153e7e2d691
hex25e406e01

10171215361 has 2 divisors, whose sum is σ = 10171215362. Its totient is φ = 10171215360.

The previous prime is 10171215359. The next prime is 10171215371. The reversal of 10171215361 is 16351217101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10169512336 + 1703025 = 100844^2 + 1305^2 .

It is a cyclic number.

It is not a de Polignac number, because 10171215361 - 21 = 10171215359 is a prime.

Together with 10171215359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10171215331) 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, 5085607680 + 5085607681.

It is an arithmetic number, because the mean of its divisors is an integer number (5085607681).

Almost surely, 210171215361 is an apocalyptic number.

It is an amenable number.

10171215361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10171215361 is an equidigital number, since it uses as much as digits as its factorization.

10171215361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

The spelling of 10171215361 in words is "ten billion, one hundred seventy-one million, two hundred fifteen thousand, three hundred sixty-one".