Search a number
-
+
220131021223177 is a prime number
BaseRepresentation
bin110010000011010100111111…
…010100101111010100001001
31001212102022122100122022200121
4302003110333110233110021
5212323111312413120202
62100102443423103241
764236640626350011
oct6203247724572411
91055368570568617
10220131021223177
1164160050749609
1220832a49741b21
1395aa35cba56bc
143c50580c20c41
151a6b1a675d537
hexc8353f52f509

220131021223177 has 2 divisors, whose sum is σ = 220131021223178. Its totient is φ = 220131021223176.

The previous prime is 220131021223051. The next prime is 220131021223213. The reversal of 220131021223177 is 771322120131022.

220131021223177 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., 153874498107456 + 66256523115721 = 12404616^2 + 8139811^2 .

It is a cyclic number.

It is not a de Polignac number, because 220131021223177 - 27 = 220131021223049 is a prime.

It is not a weakly prime, because it can be changed into another prime (220131021223777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110065510611588 + 110065510611589.

It is an arithmetic number, because the mean of its divisors is an integer number (110065510611589).

Almost surely, 2220131021223177 is an apocalyptic number.

It is an amenable number.

220131021223177 is a deficient number, since it is larger than the sum of its proper divisors (1).

220131021223177 is an equidigital number, since it uses as much as digits as its factorization.

220131021223177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14112, while the sum is 34.

Adding to 220131021223177 its reverse (771322120131022), we get a palindrome (991453141354199).

The spelling of 220131021223177 in words is "two hundred twenty trillion, one hundred thirty-one billion, twenty-one million, two hundred twenty-three thousand, one hundred seventy-seven".