Search a number
-
+
114543220234129 is a prime number
BaseRepresentation
bin11010000010110100101011…
…111101000001011110010001
3120000120020001221221120112221
4122002310223331001132101
5110003134003334443004
61043340232352421041
733061321530366001
oct3202645375013621
9500506057846487
10114543220234129
1133551563760915
1210a1b2b0847781
134bbb4c14a189b
14203dcc8606001
15d397ea881354
hex682d2bf41791

114543220234129 has 2 divisors, whose sum is σ = 114543220234130. Its totient is φ = 114543220234128.

The previous prime is 114543220234099. The next prime is 114543220234153. The reversal of 114543220234129 is 921432022345411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99276852105729 + 15266368128400 = 9963777^2 + 3907220^2 .

It is a cyclic number.

It is not a de Polignac number, because 114543220234129 - 213 = 114543220225937 is a prime.

It is not a weakly prime, because it can be changed into another prime (114543220234189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57271610117064 + 57271610117065.

It is an arithmetic number, because the mean of its divisors is an integer number (57271610117065).

Almost surely, 2114543220234129 is an apocalyptic number.

It is an amenable number.

114543220234129 is a deficient number, since it is larger than the sum of its proper divisors (1).

114543220234129 is an equidigital number, since it uses as much as digits as its factorization.

114543220234129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 114543220234129 in words is "one hundred fourteen trillion, five hundred forty-three billion, two hundred twenty million, two hundred thirty-four thousand, one hundred twenty-nine".