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218432272101149 is a prime number
BaseRepresentation
bin110001101010100110111001…
…111111000110111100011101
31001122101220212121110200110102
4301222212321333012330131
5212112243243124214044
62052322222301550445
764003132221145001
oct6152467177067435
91048356777420412
10218432272101149
11636656740a1177
12205b9779b75425
1394b60c8669312
143bd226d688701
151a3bdd0b7a24e
hexc6a9b9fc6f1d

218432272101149 has 2 divisors, whose sum is σ = 218432272101150. Its totient is φ = 218432272101148.

The previous prime is 218432272101139. The next prime is 218432272101187. The reversal of 218432272101149 is 941101272234812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178230243084100 + 40202029017049 = 13350290^2 + 6340507^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218432272101149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218432272101119) 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, 109216136050574 + 109216136050575.

It is an arithmetic number, because the mean of its divisors is an integer number (109216136050575).

Almost surely, 2218432272101149 is an apocalyptic number.

It is an amenable number.

218432272101149 is a deficient number, since it is larger than the sum of its proper divisors (1).

218432272101149 is an equidigital number, since it uses as much as digits as its factorization.

218432272101149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 218432272101149 in words is "two hundred eighteen trillion, four hundred thirty-two billion, two hundred seventy-two million, one hundred one thousand, one hundred forty-nine".