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216065071153 is a prime number
BaseRepresentation
bin1100100100111001111…
…0110101100000110001
3202122200221112212010201
43021032132311200301
512020000124234103
6243131532155201
721416202542101
oct3111636654061
9678627485121
10216065071153
11836a6110a08
1235a5b908b01
13174b4709639
14a659951201
155948a2051d
hex324e7b5831

216065071153 has 2 divisors, whose sum is σ = 216065071154. Its totient is φ = 216065071152.

The previous prime is 216065071141. The next prime is 216065071163. The reversal of 216065071153 is 351170560612.

216065071153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214824834064 + 1240237089 = 463492^2 + 35217^2 .

It is a cyclic number.

It is not a de Polignac number, because 216065071153 - 225 = 216031516721 is a prime.

It is a super-2 number, since 2×2160650711532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (216065071133) 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, 108032535576 + 108032535577.

It is an arithmetic number, because the mean of its divisors is an integer number (108032535577).

Almost surely, 2216065071153 is an apocalyptic number.

It is an amenable number.

216065071153 is a deficient number, since it is larger than the sum of its proper divisors (1).

216065071153 is an equidigital number, since it uses as much as digits as its factorization.

216065071153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 216065071153 in words is "two hundred sixteen billion, sixty-five million, seventy-one thousand, one hundred fifty-three".