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221020292077141 is a prime number
BaseRepresentation
bin110010010000010001001011…
…111111110101011001010101
31001222120100000011122022110211
4302100101023333311121111
5212432144024232432031
62102023153115445421
764361121610033264
oct6220211377653125
91058510004568424
10221020292077141
11644731a7988167
1220957268756871
13964317c89b88b
143c816212c05db
151a843a1d9dbb1
hexc9044bff5655

221020292077141 has 2 divisors, whose sum is σ = 221020292077142. Its totient is φ = 221020292077140.

The previous prime is 221020292077073. The next prime is 221020292077213. The reversal of 221020292077141 is 141770292020122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122679769688100 + 98340522389041 = 11076090^2 + 9916679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221020292077141 is a prime.

It is a super-3 number, since 3×2210202920771413 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221020292077094 and 221020292077103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221020292077841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510146038570 + 110510146038571.

It is an arithmetic number, because the mean of its divisors is an integer number (110510146038571).

Almost surely, 2221020292077141 is an apocalyptic number.

It is an amenable number.

221020292077141 is a deficient number, since it is larger than the sum of its proper divisors (1).

221020292077141 is an equidigital number, since it uses as much as digits as its factorization.

221020292077141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 221020292077141 in words is "two hundred twenty-one trillion, twenty billion, two hundred ninety-two million, seventy-seven thousand, one hundred forty-one".