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7221022102181 is a prime number
BaseRepresentation
bin110100100010100011001…
…1101010001001010100101
3221120022201110001002201202
41221011012131101022211
51421302123124232211
623205143004132245
71343462442064646
oct151050635211245
927508643032652
107221022102181
1123344667a8008
12987595837085
13404c29cca804
141ad6dc2616cd
15c7c7e4d953b
hex691467512a5

7221022102181 has 2 divisors, whose sum is σ = 7221022102182. Its totient is φ = 7221022102180.

The previous prime is 7221022102141. The next prime is 7221022102183. The reversal of 7221022102181 is 1812012201227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6576198648100 + 644823454081 = 2564410^2 + 803009^2 .

It is a cyclic number.

It is not a de Polignac number, because 7221022102181 - 26 = 7221022102117 is a prime.

It is a super-4 number, since 4×72210221021814 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 7221022102183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7221022102183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3610511051090 + 3610511051091.

It is an arithmetic number, because the mean of its divisors is an integer number (3610511051091).

Almost surely, 27221022102181 is an apocalyptic number.

It is an amenable number.

7221022102181 is a deficient number, since it is larger than the sum of its proper divisors (1).

7221022102181 is an equidigital number, since it uses as much as digits as its factorization.

7221022102181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 29.

The spelling of 7221022102181 in words is "seven trillion, two hundred twenty-one billion, twenty-two million, one hundred two thousand, one hundred eighty-one".