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114109436808617 is a prime number
BaseRepresentation
bin11001111100100000101100…
…011100100100110110101001
3112222000202101211220101002012
4121330200230130210312221
5104424032111310333432
61042405052424245305
733015064135201025
oct3174405434446651
9488022354811065
10114109436808617
11333a45a4284948
121096b20b610835
134b896209b8243
142026cd773d385
15d2d3ad118cb2
hex67c82c724da9

114109436808617 has 2 divisors, whose sum is σ = 114109436808618. Its totient is φ = 114109436808616.

The previous prime is 114109436808611. The next prime is 114109436808659. The reversal of 114109436808617 is 716808634901411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104069765728681 + 10039671079936 = 10201459^2 + 3168544^2 .

It is a cyclic number.

It is not a de Polignac number, because 114109436808617 - 218 = 114109436546473 is a prime.

It is a super-3 number, since 3×1141094368086173 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (114109436808611) 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, 57054718404308 + 57054718404309.

It is an arithmetic number, because the mean of its divisors is an integer number (57054718404309).

Almost surely, 2114109436808617 is an apocalyptic number.

It is an amenable number.

114109436808617 is a deficient number, since it is larger than the sum of its proper divisors (1).

114109436808617 is an equidigital number, since it uses as much as digits as its factorization.

114109436808617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6967296, while the sum is 59.

The spelling of 114109436808617 in words is "one hundred fourteen trillion, one hundred nine billion, four hundred thirty-six million, eight hundred eight thousand, six hundred seventeen".