Search a number
-
+
205332221117 is a prime number
BaseRepresentation
bin1011111100111011000…
…0010000110010111101
3201121222221210120202102
42333032300100302331
511331010022033432
6234154530034445
720556216040112
oct2771660206275
9647887716672
10205332221117
117a09875a911
1233965418a25
1316493c4a7ba
149d1c342909
15551b651962
hex2fcec10cbd

205332221117 has 2 divisors, whose sum is σ = 205332221118. Its totient is φ = 205332221116.

The previous prime is 205332221111. The next prime is 205332221153. The reversal of 205332221117 is 711122233502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149965660516 + 55366560601 = 387254^2 + 235301^2 .

It is a cyclic number.

It is not a de Polignac number, because 205332221117 - 26 = 205332221053 is a prime.

It is a super-2 number, since 2×2053322211172 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205332221117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205332221111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102666110558 + 102666110559.

It is an arithmetic number, because the mean of its divisors is an integer number (102666110559).

Almost surely, 2205332221117 is an apocalyptic number.

It is an amenable number.

205332221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

205332221117 is an equidigital number, since it uses as much as digits as its factorization.

205332221117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 205332221117 its reverse (711122233502), we get a palindrome (916454454619).

The spelling of 205332221117 in words is "two hundred five billion, three hundred thirty-two million, two hundred twenty-one thousand, one hundred seventeen".