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114053566001 is a prime number
BaseRepresentation
bin110101000111000011…
…1110100111000110001
3101220101120220110120012
41222032013310320301
53332040203103001
6124221231424305
711145232213064
oct1521607647061
9356346813505
10114053566001
11444082a0261
121a130385095
13a9a8254b7b
14573d6bc8db
152e77dee2bb
hex1a8e1f4e31

114053566001 has 2 divisors, whose sum is σ = 114053566002. Its totient is φ = 114053566000.

The previous prime is 114053565961. The next prime is 114053566057. The reversal of 114053566001 is 100665350411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113989965376 + 63600625 = 337624^2 + 7975^2 .

It is an emirp because it is prime and its reverse (100665350411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114053566001 - 26 = 114053565937 is a prime.

It is a super-3 number, since 3×1140535660013 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (114053566091) 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, 57026783000 + 57026783001.

It is an arithmetic number, because the mean of its divisors is an integer number (57026783001).

Almost surely, 2114053566001 is an apocalyptic number.

It is an amenable number.

114053566001 is a deficient number, since it is larger than the sum of its proper divisors (1).

114053566001 is an equidigital number, since it uses as much as digits as its factorization.

114053566001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 114053566001 in words is "one hundred fourteen billion, fifty-three million, five hundred sixty-six thousand, one".