Search a number
-
+
232112012322221 is a prime number
BaseRepresentation
bin110100110001101011001010…
…000010101110010110101101
31010102211200200020010012112022
4310301223022002232112231
5220410410400123302341
62141354441510315525
766614353021365143
oct6461531202562655
91112750606105468
10232112012322221
1167a5a173898809
1222048a43358ba5
139c690b832c2a5
1441463d1dc9593
151bc7b75936e4b
hexd31aca0ae5ad

232112012322221 has 2 divisors, whose sum is σ = 232112012322222. Its totient is φ = 232112012322220.

The previous prime is 232112012322199. The next prime is 232112012322227. The reversal of 232112012322221 is 122223210211232.

232112012322221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232108698592996 + 3313729225 = 15235114^2 + 57565^2 .

It is a cyclic number.

It is not a de Polignac number, because 232112012322221 - 238 = 231837134415277 is a prime.

It is a super-2 number, since 2×2321120123222212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (232112012322227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116056006161110 + 116056006161111.

It is an arithmetic number, because the mean of its divisors is an integer number (116056006161111).

Almost surely, 2232112012322221 is an apocalyptic number.

It is an amenable number.

232112012322221 is a deficient number, since it is larger than the sum of its proper divisors (1).

232112012322221 is an equidigital number, since it uses as much as digits as its factorization.

232112012322221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 232112012322221 its reverse (122223210211232), we get a palindrome (354335222533453).

The spelling of 232112012322221 in words is "two hundred thirty-two trillion, one hundred twelve billion, twelve million, three hundred twenty-two thousand, two hundred twenty-one".