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120202218221 is a prime number
BaseRepresentation
bin110111111110010011…
…1000100101011101101
3102111021002200100202012
41233330213010223231
53432133231440341
6131115314411005
711453502665621
oct1577447045355
9374232610665
10120202218221
1146a83022718
121b367590a65
13b44806a217
145b64145181
1531d7aec0eb
hex1bfc9c4aed

120202218221 has 2 divisors, whose sum is σ = 120202218222. Its totient is φ = 120202218220.

The previous prime is 120202218197. The next prime is 120202218259. The reversal of 120202218221 is 122812202021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84454753321 + 35747464900 = 290611^2 + 189070^2 .

It is a cyclic number.

It is not a de Polignac number, because 120202218221 - 234 = 103022349037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120202211221) 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, 60101109110 + 60101109111.

It is an arithmetic number, because the mean of its divisors is an integer number (60101109111).

Almost surely, 2120202218221 is an apocalyptic number.

It is an amenable number.

120202218221 is a deficient number, since it is larger than the sum of its proper divisors (1).

120202218221 is an equidigital number, since it uses as much as digits as its factorization.

120202218221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 120202218221 in words is "one hundred twenty billion, two hundred two million, two hundred eighteen thousand, two hundred twenty-one".