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2221230112181 is a prime number
BaseRepresentation
bin100000010100101011101…
…000011011110110110101
321212100101100022222101122
4200110223220123312311
5242343034402042211
64420230302033325
7316323103300613
oct40245350336665
97770340288348
102221230112181
11787022544543
122ba5a5578845
131315cc0666b2
14797183846b3
153cba51a56db
hex2052ba1bdb5

2221230112181 has 2 divisors, whose sum is σ = 2221230112182. Its totient is φ = 2221230112180.

The previous prime is 2221230112169. The next prime is 2221230112207. The reversal of 2221230112181 is 1812110321222.

2221230112181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2221230112207) can be obtained adding 2221230112181 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1399569445156 + 821660667025 = 1183034^2 + 906455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221230112181 is a prime.

It is a super-2 number, since 2×22212301121812 (a number of 25 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 2221230112181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221230112121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110615056090 + 1110615056091.

It is an arithmetic number, because the mean of its divisors is an integer number (1110615056091).

Almost surely, 22221230112181 is an apocalyptic number.

It is an amenable number.

2221230112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221230112181 is an equidigital number, since it uses as much as digits as its factorization.

2221230112181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 2221230112181 in words is "two trillion, two hundred twenty-one billion, two hundred thirty million, one hundred twelve thousand, one hundred eighty-one".