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114133342097 is a prime number
BaseRepresentation
bin110101001001011100…
…0001001011110010001
3101220121011000111210102
41222102320021132101
53332221113421342
6124233201342145
711150221254335
oct1522270113621
9356534014712
10114133342097
1144449329215
121a153037955
13a9bb937368
14574a1277c5
152e7ee0b832
hex1a92e09791

114133342097 has 2 divisors, whose sum is σ = 114133342098. Its totient is φ = 114133342096.

The previous prime is 114133342093. The next prime is 114133342189. The reversal of 114133342097 is 790243331411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109355214721 + 4778127376 = 330689^2 + 69124^2 .

It is a cyclic number.

It is not a de Polignac number, because 114133342097 - 22 = 114133342093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114133342097.

It is not a weakly prime, because it can be changed into another prime (114133342093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57066671048 + 57066671049.

It is an arithmetic number, because the mean of its divisors is an integer number (57066671049).

Almost surely, 2114133342097 is an apocalyptic number.

It is an amenable number.

114133342097 is a deficient number, since it is larger than the sum of its proper divisors (1).

114133342097 is an equidigital number, since it uses as much as digits as its factorization.

114133342097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 114133342097 in words is "one hundred fourteen billion, one hundred thirty-three million, three hundred forty-two thousand, ninety-seven".