Search a number
-
+
8121434129 is a prime number
BaseRepresentation
bin1111001000001001…
…10100000000010001
3202221222220121012122
413210010310000101
5113113041343004
63421514304025
7405154023344
oct74404640021
922858817178
108121434129
113498379736
1216a7a28015
139c574ca33
1457087845b
15327ed5cbe
hex1e4134011

8121434129 has 2 divisors, whose sum is σ = 8121434130. Its totient is φ = 8121434128.

The previous prime is 8121434093. The next prime is 8121434143. The reversal of 8121434129 is 9214341218.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8103600400 + 17833729 = 90020^2 + 4223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8121434129 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (8121454129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4060717064 + 4060717065.

It is an arithmetic number, because the mean of its divisors is an integer number (4060717065).

Almost surely, 28121434129 is an apocalyptic number.

It is an amenable number.

8121434129 is a deficient number, since it is larger than the sum of its proper divisors (1).

8121434129 is an equidigital number, since it uses as much as digits as its factorization.

8121434129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 35.

The square root of 8121434129 is about 90118.9998224570. Note that the first 3 decimals coincide. The cubic root of 8121434129 is about 2010.0687359645.

The spelling of 8121434129 in words is "eight billion, one hundred twenty-one million, four hundred thirty-four thousand, one hundred twenty-nine".