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164247501113 is a prime number
BaseRepresentation
bin1001100011110111101…
…0011111100100111001
3120200221200122120010222
42120331322133210321
510142334330013423
6203242041545425
714603130503243
oct2307572374471
9520850576128
10164247501113
1163725483663
12279ba1a5275
13126472374a7
147d41a93093
1544148013c8
hex263de9f939

164247501113 has 2 divisors, whose sum is σ = 164247501114. Its totient is φ = 164247501112.

The previous prime is 164247501107. The next prime is 164247501179. The reversal of 164247501113 is 311105742461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139123032064 + 25124469049 = 372992^2 + 158507^2 .

It is an emirp because it is prime and its reverse (311105742461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164247501113 - 26 = 164247501049 is a prime.

It is not a weakly prime, because it can be changed into another prime (164247500113) 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, 82123750556 + 82123750557.

It is an arithmetic number, because the mean of its divisors is an integer number (82123750557).

Almost surely, 2164247501113 is an apocalyptic number.

It is an amenable number.

164247501113 is a deficient number, since it is larger than the sum of its proper divisors (1).

164247501113 is an equidigital number, since it uses as much as digits as its factorization.

164247501113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 164247501113 in words is "one hundred sixty-four billion, two hundred forty-seven million, five hundred one thousand, one hundred thirteen".