Search a number
-
+
114103315514033 is a prime number
BaseRepresentation
bin11001111100011010111111…
…100101101100001010110001
3112222000011121020121101111222
4121330122333211230022301
5104423432042232422113
61042402201155514425
733014456346100106
oct3174327745541261
9488004536541458
10114103315514033
11333a1a42a386aa
1210969ba15b8a15
134b88b86761241
1420268b6798aad
15d2d150a21e08
hex67c6bf96c2b1

114103315514033 has 2 divisors, whose sum is σ = 114103315514034. Its totient is φ = 114103315514032.

The previous prime is 114103315514009. The next prime is 114103315514059. The reversal of 114103315514033 is 330415513301411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82861386569329 + 31241928944704 = 9102823^2 + 5589448^2 .

It is a cyclic number.

It is not a de Polignac number, because 114103315514033 - 210 = 114103315513009 is a prime.

It is a super-2 number, since 2×1141033155140332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114103315513984 and 114103315514002.

It is not a weakly prime, because it can be changed into another prime (114103315514003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57051657757016 + 57051657757017.

It is an arithmetic number, because the mean of its divisors is an integer number (57051657757017).

Almost surely, 2114103315514033 is an apocalyptic number.

It is an amenable number.

114103315514033 is a deficient number, since it is larger than the sum of its proper divisors (1).

114103315514033 is an equidigital number, since it uses as much as digits as its factorization.

114103315514033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 35.

Adding to 114103315514033 its reverse (330415513301411), we get a palindrome (444518828815444).

The spelling of 114103315514033 in words is "one hundred fourteen trillion, one hundred three billion, three hundred fifteen million, five hundred fourteen thousand, thirty-three".