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200212220101781 is a prime number
BaseRepresentation
bin101101100001011110001010…
…010000100100010010010101
3222020220002201212012020022002
4231201132022100210102111
5202220234111321224111
61545452120230445045
760112566312364436
oct5541361220442225
9866802655166262
10200212220101781
11588805867a8918
121a556577503785
138793c152176c4
143762474a5948d
151822ea525e63b
hexb6178a424495

200212220101781 has 2 divisors, whose sum is σ = 200212220101782. Its totient is φ = 200212220101780.

The previous prime is 200212220101763. The next prime is 200212220101783. The reversal of 200212220101781 is 187101022212002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199044975388900 + 1167244712881 = 14108330^2 + 1080391^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200212220101781 is a prime.

It is a super-2 number, since 2×2002122201017812 (a number of 29 digits) contains 22 as substring.

Together with 200212220101783, 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 (200212220101783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106110050890 + 100106110050891.

It is an arithmetic number, because the mean of its divisors is an integer number (100106110050891).

Almost surely, 2200212220101781 is an apocalyptic number.

It is an amenable number.

200212220101781 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212220101781 is an equidigital number, since it uses as much as digits as its factorization.

200212220101781 is an evil number, because the sum of its binary digits is even.

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

Adding to 200212220101781 its reverse (187101022212002), we get a palindrome (387313242313783).

The spelling of 200212220101781 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, one hundred one thousand, seven hundred eighty-one".