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312232221089 is a prime number
BaseRepresentation
bin1001000101100100111…
…11011001100110100001
31002211221000000020112122
410202302133121212201
520103422422033324
6355234300034025
731362256042445
oct4426237314641
91084830006478
10312232221089
11110464a49028
1250619b32915
132359c11c659
141117d92c825
1581c6500a5e
hex48b27d99a1

312232221089 has 2 divisors, whose sum is σ = 312232221090. Its totient is φ = 312232221088.

The previous prime is 312232221079. The next prime is 312232221127. The reversal of 312232221089 is 980122232213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300243723025 + 11988498064 = 547945^2 + 109492^2 .

It is a cyclic number.

It is not a de Polignac number, because 312232221089 - 24 = 312232221073 is a prime.

It is not a weakly prime, because it can be changed into another prime (312232221079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156116110544 + 156116110545.

It is an arithmetic number, because the mean of its divisors is an integer number (156116110545).

Almost surely, 2312232221089 is an apocalyptic number.

It is an amenable number.

312232221089 is a deficient number, since it is larger than the sum of its proper divisors (1).

312232221089 is an equidigital number, since it uses as much as digits as its factorization.

312232221089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 312232221089 in words is "three hundred twelve billion, two hundred thirty-two million, two hundred twenty-one thousand, eighty-nine".