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114724634033 is a prime number
BaseRepresentation
bin110101011011000011…
…1101111110110110001
3101222010100122020211202
41222312013233312301
53334424001242113
6124412003020545
711200661204462
oct1526607576661
9358110566752
10114724634033
1144722079639
121a29906a755
13aa842a4449
1457a4884d69
152eb6ca9258
hex1ab61efdb1

114724634033 has 2 divisors, whose sum is σ = 114724634034. Its totient is φ = 114724634032.

The previous prime is 114724634023. The next prime is 114724634053. The reversal of 114724634033 is 330436427411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73176742144 + 41547891889 = 270512^2 + 203833^2 .

It is a cyclic number.

It is not a de Polignac number, because 114724634033 - 212 = 114724629937 is a prime.

It is not a weakly prime, because it can be changed into another prime (114724634023) 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, 57362317016 + 57362317017.

It is an arithmetic number, because the mean of its divisors is an integer number (57362317017).

Almost surely, 2114724634033 is an apocalyptic number.

It is an amenable number.

114724634033 is a deficient number, since it is larger than the sum of its proper divisors (1).

114724634033 is an equidigital number, since it uses as much as digits as its factorization.

114724634033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 114724634033 in words is "one hundred fourteen billion, seven hundred twenty-four million, six hundred thirty-four thousand, thirty-three".