Search a number
218432272101217 is a prime number
BaseRepresentation
bin110001101010100110111001…
…111111000110111101100001
31001122101220212121110200112221
4301222212321333012331201
5212112243243124214332
62052322222301551041
764003132221145126
oct6152467177067541
91048356777420487
10218432272101217
11636656740a1229
12205b9779b75481
1394b60c8669365
143bd226d68874d
151a3bdd0b7a297
hexc6a9b9fc6f61

218432272101217 has 2 divisors, whose sum is σ = 218432272101218. Its totient is φ = 218432272101216.

The previous prime is 218432272101187. The next prime is 218432272101221. The reversal of 218432272101217 is 712101272234812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209077458359121 + 9354813742096 = 14459511^2 + 3058564^2 .

It is a cyclic number.

It is not a de Polignac number, because 218432272101217 - 227 = 218432137883489 is a prime.

It is a super-3 number, since 3×2184322721012173 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (218432272101287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109216136050608 + 109216136050609.

It is an arithmetic number, because the mean of its divisors is an integer number (109216136050609).

Almost surely, 2218432272101217 is an apocalyptic number.

It is an amenable number.

218432272101217 is a deficient number, since it is larger than the sum of its proper divisors (1).

218432272101217 is an equidigital number, since it uses as much as digits as its factorization.

218432272101217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150528, while the sum is 43.

The spelling of 218432272101217 in words is "two hundred eighteen trillion, four hundred thirty-two billion, two hundred seventy-two million, one hundred one thousand, two hundred seventeen".