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312225014081 is a prime number
BaseRepresentation
bin1001000101100100000…
…11111010000101000001
31002211220111110002101102
410202302003322011001
520103414100422311
6355233441344145
731362140554661
oct4426203720501
91084814402342
10312225014081
11110460976322
1250617638055
132359a798156
141117c9b41a1
1581c5a7a43b
hex48b20fa141

312225014081 has 2 divisors, whose sum is σ = 312225014082. Its totient is φ = 312225014080.

The previous prime is 312225013999. The next prime is 312225014089. The reversal of 312225014081 is 180410522213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289600041025 + 22624973056 = 538145^2 + 150416^2 .

It is a cyclic number.

It is not a de Polignac number, because 312225014081 - 238 = 37347107137 is a prime.

It is a super-2 number, since 2×3122250140812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312225014089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156112507040 + 156112507041.

It is an arithmetic number, because the mean of its divisors is an integer number (156112507041).

Almost surely, 2312225014081 is an apocalyptic number.

It is an amenable number.

312225014081 is a deficient number, since it is larger than the sum of its proper divisors (1).

312225014081 is an equidigital number, since it uses as much as digits as its factorization.

312225014081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 312225014081 its reverse (180410522213), we get a palindrome (492635536294).

The spelling of 312225014081 in words is "three hundred twelve billion, two hundred twenty-five million, fourteen thousand, eighty-one".