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918191021221 is a prime number
BaseRepresentation
bin11010101110010000111…
…00110001110010100101
310020210000022101201010001
431113020130301302211
5110020423400134341
61541451112101301
7123223425622555
oct15271034616245
93223008351101
10918191021221
11324447992331
12129b50394831
136877b44bba6
1432625339165
1518d3e568d31
hexd5c8731ca5

918191021221 has 2 divisors, whose sum is σ = 918191021222. Its totient is φ = 918191021220.

The previous prime is 918191021191. The next prime is 918191021263. The reversal of 918191021221 is 122120191819.

918191021221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 560364530625 + 357826490596 = 748575^2 + 598186^2 .

It is an emirp because it is prime and its reverse (122120191819) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 918191021221 - 223 = 918182632613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (918191021021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 459095510610 + 459095510611.

It is an arithmetic number, because the mean of its divisors is an integer number (459095510611).

Almost surely, 2918191021221 is an apocalyptic number.

It is an amenable number.

918191021221 is a deficient number, since it is larger than the sum of its proper divisors (1).

918191021221 is an equidigital number, since it uses as much as digits as its factorization.

918191021221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 37.

The spelling of 918191021221 in words is "nine hundred eighteen billion, one hundred ninety-one million, twenty-one thousand, two hundred twenty-one".