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122201220181 is a prime number
BaseRepresentation
bin111000111001111000…
…0101010010001010101
3102200102102011011220211
41301303300222101111
54000232003021211
6132045524125421
711554155142645
oct1616360522125
9380372134824
10122201220181
1147909448457
121b824b36871
13b6a6255211
145cb3820525
1532a3363e21
hex1c73c2a455

122201220181 has 2 divisors, whose sum is σ = 122201220182. Its totient is φ = 122201220180.

The previous prime is 122201220179. The next prime is 122201220209. The reversal of 122201220181 is 181022102221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120432597156 + 1768623025 = 347034^2 + 42055^2 .

It is an emirp because it is prime and its reverse (181022102221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122201220181 - 21 = 122201220179 is a prime.

It is a super-2 number, since 2×1222012201812 (a number of 23 digits) contains 22 as substring.

Together with 122201220179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122201220101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100610090 + 61100610091.

It is an arithmetic number, because the mean of its divisors is an integer number (61100610091).

Almost surely, 2122201220181 is an apocalyptic number.

It is an amenable number.

122201220181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201220181 is an equidigital number, since it uses as much as digits as its factorization.

122201220181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 122201220181 in words is "one hundred twenty-two billion, two hundred one million, two hundred twenty thousand, one hundred eighty-one".