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114205460465581 is a prime number
BaseRepresentation
bin11001111101111010000111…
…111001110000011110101101
3112222100221020220100120010121
4121331322013321300132231
5104432120240334344311
61042521133024404541
733025033526622502
oct3175720771603655
9488327226316117
10114205460465581
113343129a114631
1210985949776751
134b956b476a084
14202b8066474a9
15d30b2d202b71
hex67de87e707ad

114205460465581 has 2 divisors, whose sum is σ = 114205460465582. Its totient is φ = 114205460465580.

The previous prime is 114205460465483. The next prime is 114205460465599. The reversal of 114205460465581 is 185564064502411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102947221056681 + 11258239408900 = 10146291^2 + 3355330^2 .

It is a cyclic number.

It is not a de Polignac number, because 114205460465581 - 29 = 114205460465069 is a prime.

It is a super-2 number, since 2×1142054604655812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114205460405581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57102730232790 + 57102730232791.

It is an arithmetic number, because the mean of its divisors is an integer number (57102730232791).

Almost surely, 2114205460465581 is an apocalyptic number.

It is an amenable number.

114205460465581 is a deficient number, since it is larger than the sum of its proper divisors (1).

114205460465581 is an equidigital number, since it uses as much as digits as its factorization.

114205460465581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608000, while the sum is 52.

The spelling of 114205460465581 in words is "one hundred fourteen trillion, two hundred five billion, four hundred sixty million, four hundred sixty-five thousand, five hundred eighty-one".