Search a number
-
+
24122235221089 is a prime number
BaseRepresentation
bin1010111110000011001010…
…10000101111010001100001
310011102001201001021210222121
411133001211100233101201
511130204314204033324
6123145334001104241
75036526322202005
oct537014520572141
9104361631253877
1024122235221089
117760200a0a485
122857073928081
13105c9423aa755
145d574570c705
152bc71c16e5e4
hex15f06542f461

24122235221089 has 2 divisors, whose sum is σ = 24122235221090. Its totient is φ = 24122235221088.

The previous prime is 24122235221087. The next prime is 24122235221131. The reversal of 24122235221089 is 98012253222142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24061624720225 + 60610500864 = 4905265^2 + 246192^2 .

It is a cyclic number.

It is not a de Polignac number, because 24122235221089 - 21 = 24122235221087 is a prime.

It is a super-3 number, since 3×241222352210893 (a number of 41 digits) contains 333 as substring.

Together with 24122235221087, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (24122235221087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12061117610544 + 12061117610545.

It is an arithmetic number, because the mean of its divisors is an integer number (12061117610545).

Almost surely, 224122235221089 is an apocalyptic number.

It is an amenable number.

24122235221089 is a deficient number, since it is larger than the sum of its proper divisors (1).

24122235221089 is an equidigital number, since it uses as much as digits as its factorization.

24122235221089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 24122235221089 in words is "twenty-four trillion, one hundred twenty-two billion, two hundred thirty-five million, two hundred twenty-one thousand, eighty-nine".