Search a number
-
+
114518057 is a prime number
BaseRepresentation
bin1101101001101…
…10100000101001
321222111010020112
412310312200221
5213304034212
615210304105
72560246613
oct664664051
9258433215
10114518057
1159708125
1232428035
131a957984
14112cddb3
15a0c1422
hex6d36829

114518057 has 2 divisors, whose sum is σ = 114518058. Its totient is φ = 114518056.

The previous prime is 114518039. The next prime is 114518083. The reversal of 114518057 is 750815411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70375321 + 44142736 = 8389^2 + 6644^2 .

It is a cyclic number.

It is not a de Polignac number, because 114518057 - 210 = 114517033 is a prime.

It is a super-3 number, since 3×1145180573 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is equal to p6546713 and since 114518057 and 6546713 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (114518017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57259028 + 57259029.

It is an arithmetic number, because the mean of its divisors is an integer number (57259029).

Almost surely, 2114518057 is an apocalyptic number.

It is an amenable number.

114518057 is a deficient number, since it is larger than the sum of its proper divisors (1).

114518057 is an equidigital number, since it uses as much as digits as its factorization.

114518057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5600, while the sum is 32.

The square root of 114518057 is about 10701.3109944530. The cubic root of 114518057 is about 485.6141396389.

The spelling of 114518057 in words is "one hundred fourteen million, five hundred eighteen thousand, fifty-seven".