Search a number
-
+
21322122122177 is a prime number
BaseRepresentation
bin1001101100100011100011…
…00000111101001111000001
32210111101010100111012111022
410312101301200331033001
510243320201230402202
6113203125255355225
74330321030442312
oct466216140751701
983441110435438
1021322122122177
116880730087028
122484453682b15
13bb888a61aca6
14539dd3896609
1526e985eadea2
hex13647183d3c1

21322122122177 has 2 divisors, whose sum is σ = 21322122122178. Its totient is φ = 21322122122176.

The previous prime is 21322122122087. The next prime is 21322122122401. The reversal of 21322122122177 is 77122122122312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21144169761841 + 177952360336 = 4598279^2 + 421844^2 .

It is a cyclic number.

It is not a de Polignac number, because 21322122122177 - 230 = 21321048380353 is a prime.

It is not a weakly prime, because it can be changed into another prime (21322122122677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10661061061088 + 10661061061089.

It is an arithmetic number, because the mean of its divisors is an integer number (10661061061089).

Almost surely, 221322122122177 is an apocalyptic number.

It is an amenable number.

21322122122177 is a deficient number, since it is larger than the sum of its proper divisors (1).

21322122122177 is an equidigital number, since it uses as much as digits as its factorization.

21322122122177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18816, while the sum is 35.

Adding to 21322122122177 its reverse (77122122122312), we get a palindrome (98444244244489).

The spelling of 21322122122177 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred seventy-seven".