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216217160101 is a prime number
BaseRepresentation
bin1100100101011110001…
…1000000100110100101
3202200002112201202221201
43021113203000212211
512020303043110401
6243155004042501
721423030352105
oct3112743004645
9680075652851
10216217160101
1183773a4a658
1235aa2833431
131750a08a2b7
14a671c21205
155957063b01
hex32578c09a5

216217160101 has 2 divisors, whose sum is σ = 216217160102. Its totient is φ = 216217160100.

The previous prime is 216217160053. The next prime is 216217160129. The reversal of 216217160101 is 101061712612.

It is an a-pointer prime, because the next prime (216217160129) can be obtained adding 216217160101 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194313456100 + 21903704001 = 440810^2 + 147999^2 .

It is a cyclic number.

It is not a de Polignac number, because 216217160101 - 229 = 215680289189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 216217160101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (216217160171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108108580050 + 108108580051.

It is an arithmetic number, because the mean of its divisors is an integer number (108108580051).

Almost surely, 2216217160101 is an apocalyptic number.

It is an amenable number.

216217160101 is a deficient number, since it is larger than the sum of its proper divisors (1).

216217160101 is an equidigital number, since it uses as much as digits as its factorization.

216217160101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

Adding to 216217160101 its reverse (101061712612), we get a palindrome (317278872713).

The spelling of 216217160101 in words is "two hundred sixteen billion, two hundred seventeen million, one hundred sixty thousand, one hundred one".