Search a number
-
+
10022324410169 is a prime number
BaseRepresentation
bin1001000111011000000100…
…0101100001011100111001
31022111010101000112210101122
42101312001011201130321
52303201210022111134
633152105310355025
72053042353610241
oct221660105413471
938433330483348
1010022324410169
113214497936885
12115a4881bba75
13579141273b96
14269123dd8b21
15125a84ca302e
hex91d81161739

10022324410169 has 2 divisors, whose sum is σ = 10022324410170. Its totient is φ = 10022324410168.

The previous prime is 10022324410097. The next prime is 10022324410199. The reversal of 10022324410169 is 96101442322001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6904938675625 + 3117385734544 = 2627725^2 + 1765612^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022324410169 - 216 = 10022324344633 is a prime.

It is a super-2 number, since 2×100223244101692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10022324410199) 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, 5011162205084 + 5011162205085.

It is an arithmetic number, because the mean of its divisors is an integer number (5011162205085).

Almost surely, 210022324410169 is an apocalyptic number.

It is an amenable number.

10022324410169 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022324410169 is an equidigital number, since it uses as much as digits as its factorization.

10022324410169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 10022324410169 in words is "ten trillion, twenty-two billion, three hundred twenty-four million, four hundred ten thousand, one hundred sixty-nine".