Search a number
-
+
167211221201 is a prime number
BaseRepresentation
bin1001101110111010010…
…0001100000011010001
3120222121020102010210122
42123232210030003101
510214422033034301
6204452112440025
715036435633503
oct2335644140321
9528536363718
10167211221201
1164a06414402
12284a6849015
13129ca25850b
148143533d73
154539aca81b
hex26ee90c0d1

167211221201 has 2 divisors, whose sum is σ = 167211221202. Its totient is φ = 167211221200.

The previous prime is 167211221173. The next prime is 167211221251. The reversal of 167211221201 is 102122112761.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154292625601 + 12918595600 = 392801^2 + 113660^2 .

It is an emirp because it is prime and its reverse (102122112761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167211221201 - 218 = 167210959057 is a prime.

It is not a weakly prime, because it can be changed into another prime (167211221251) 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, 83605610600 + 83605610601.

It is an arithmetic number, because the mean of its divisors is an integer number (83605610601).

Almost surely, 2167211221201 is an apocalyptic number.

It is an amenable number.

167211221201 is a deficient number, since it is larger than the sum of its proper divisors (1).

167211221201 is an equidigital number, since it uses as much as digits as its factorization.

167211221201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 167211221201 its reverse (102122112761), we get a palindrome (269333333962).

The spelling of 167211221201 in words is "one hundred sixty-seven billion, two hundred eleven million, two hundred twenty-one thousand, two hundred one".