Search a number
-
+
201122171221117 is a prime number
BaseRepresentation
bin101101101110101101100111…
…100100100111010001111101
3222101010002110220202112222211
4231232231213210213101331
5202330141201313033432
61551430125553140421
760235411615313626
oct5556554744472175
9871102426675884
10201122171221117
11590a1485456983
121a6829a825a711
13882b97c5081b3
1437945178bca4d
15183b9b11e0d47
hexb6eb6792747d

201122171221117 has 2 divisors, whose sum is σ = 201122171221118. Its totient is φ = 201122171221116.

The previous prime is 201122171221067. The next prime is 201122171221121. The reversal of 201122171221117 is 711122171221102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125169307792281 + 75952863428836 = 11187909^2 + 8715094^2 .

It is a cyclic number.

It is not a de Polignac number, because 201122171221117 - 211 = 201122171219069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201122171221717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561085610558 + 100561085610559.

It is an arithmetic number, because the mean of its divisors is an integer number (100561085610559).

Almost surely, 2201122171221117 is an apocalyptic number.

It is an amenable number.

201122171221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122171221117 is an equidigital number, since it uses as much as digits as its factorization.

201122171221117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 31.

The spelling of 201122171221117 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred seventy-one million, two hundred twenty-one thousand, one hundred seventeen".