Search a number
-
+
171131220521 is a prime number
BaseRepresentation
bin1001111101100000110…
…1110011001000101001
3121100201102120201221122
42133120031303020221
510300434043024041
6210341103545025
715235535242112
oct2373015631051
9540642521848
10171131220521
1166638126968
12291bb5bb175
13131a3419441
1483d5dc1209
1546b8cebc4b
hex27d8373229

171131220521 has 2 divisors, whose sum is σ = 171131220522. Its totient is φ = 171131220520.

The previous prime is 171131220467. The next prime is 171131220577. The reversal of 171131220521 is 125022131171.

It is a happy number.

171131220521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111612787225 + 59518433296 = 334085^2 + 243964^2 .

It is a cyclic number.

It is not a de Polignac number, because 171131220521 - 26 = 171131220457 is a prime.

It is a super-2 number, since 2×1711312205212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (171131270521) 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, 85565610260 + 85565610261.

It is an arithmetic number, because the mean of its divisors is an integer number (85565610261).

Almost surely, 2171131220521 is an apocalyptic number.

It is an amenable number.

171131220521 is a deficient number, since it is larger than the sum of its proper divisors (1).

171131220521 is an equidigital number, since it uses as much as digits as its factorization.

171131220521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 171131220521 its reverse (125022131171), we get a palindrome (296153351692).

The spelling of 171131220521 in words is "one hundred seventy-one billion, one hundred thirty-one million, two hundred twenty thousand, five hundred twenty-one".