Search a number
-
+
114514435001033 is a prime number
BaseRepresentation
bin11010000010011001111000…
…001110000100101011001001
3120000110110202212110020002122
4122002121320032010223021
5110002201030330013113
61043315112153141025
733056252311060424
oct3202317016045311
9500413685406078
10114514435001033
113354033219a181
1210a157b86ba775
134bb88849a1492
14203c7576529bb
15d38bb370d408
hex682678384ac9

114514435001033 has 2 divisors, whose sum is σ = 114514435001034. Its totient is φ = 114514435001032.

The previous prime is 114514435001017. The next prime is 114514435001111. The reversal of 114514435001033 is 330100534415411.

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., 95471405276809 + 19043029724224 = 9770947^2 + 4363832^2 .

It is a cyclic number.

It is not a de Polignac number, because 114514435001033 - 24 = 114514435001017 is a prime.

It is a super-2 number, since 2×1145144350010332 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114514435000984 and 114514435001002.

It is not a weakly prime, because it can be changed into another prime (114514435031033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57257217500516 + 57257217500517.

It is an arithmetic number, because the mean of its divisors is an integer number (57257217500517).

Almost surely, 2114514435001033 is an apocalyptic number.

It is an amenable number.

114514435001033 is a deficient number, since it is larger than the sum of its proper divisors (1).

114514435001033 is an equidigital number, since it uses as much as digits as its factorization.

114514435001033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 114514435001033 its reverse (330100534415411), we get a palindrome (444614969416444).

The spelling of 114514435001033 in words is "one hundred fourteen trillion, five hundred fourteen billion, four hundred thirty-five million, one thousand, thirty-three".