Search a number
-
+
114240105029 is a prime number
BaseRepresentation
bin110101001100100111…
…1011010101001000101
3101220212120220122000002
41222121033122221011
53332430431330104
6124251533531045
711152655604461
oct1523117325105
9356776818002
10114240105029
11444a3619846
121a182943a85
13aa07aa81ab
14575a3994a1
152e8949a01e
hex1a993daa45

114240105029 has 2 divisors, whose sum is σ = 114240105030. Its totient is φ = 114240105028.

The previous prime is 114240105019. The next prime is 114240105061. The reversal of 114240105029 is 920501042411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106535654404 + 7704450625 = 326398^2 + 87775^2 .

It is a cyclic number.

It is not a de Polignac number, because 114240105029 - 216 = 114240039493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114240104992 and 114240105010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114240105019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57120052514 + 57120052515.

It is an arithmetic number, because the mean of its divisors is an integer number (57120052515).

Almost surely, 2114240105029 is an apocalyptic number.

It is an amenable number.

114240105029 is a deficient number, since it is larger than the sum of its proper divisors (1).

114240105029 is an equidigital number, since it uses as much as digits as its factorization.

114240105029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 114240105029 in words is "one hundred fourteen billion, two hundred forty million, one hundred five thousand, twenty-nine".