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206221581221 is a prime number
BaseRepresentation
bin1100000000001111000…
…0111001101110100101
3201201021221021202110112
43000003300321232211
511334320211044341
6234423100102405
720620235342525
oct3000360715645
9651257252415
10206221581221
117a504785267
1233b73234a05
13165a628a296
149da44cd685
15556e77aaeb
hex3003c39ba5

206221581221 has 2 divisors, whose sum is σ = 206221581222. Its totient is φ = 206221581220.

The previous prime is 206221581187. The next prime is 206221581253. The reversal of 206221581221 is 122185122602.

It is an a-pointer prime, because the next prime (206221581253) can be obtained adding 206221581221 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204362764225 + 1858816996 = 452065^2 + 43114^2 .

It is a cyclic number.

It is not a de Polignac number, because 206221581221 - 218 = 206221319077 is a prime.

It is a super-2 number, since 2×2062215812212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (206221581271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103110790610 + 103110790611.

It is an arithmetic number, because the mean of its divisors is an integer number (103110790611).

Almost surely, 2206221581221 is an apocalyptic number.

It is an amenable number.

206221581221 is a deficient number, since it is larger than the sum of its proper divisors (1).

206221581221 is an equidigital number, since it uses as much as digits as its factorization.

206221581221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 206221581221 in words is "two hundred six billion, two hundred twenty-one million, five hundred eighty-one thousand, two hundred twenty-one".