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312209228081 is a prime number
BaseRepresentation
bin1001000101100010001…
…11101100000100110001
31002211212101202002001202
410202301013230010301
520103401030244311
6355232115140545
731361556436442
oct4426107540461
91084771662052
10312209228081
11110452a74043
12506122a4755
132359742bb1a
141117a8652c9
1581c44ace3b
hex48b11ec131

312209228081 has 2 divisors, whose sum is σ = 312209228082. Its totient is φ = 312209228080.

The previous prime is 312209228069. The next prime is 312209228083. The reversal of 312209228081 is 180822902213.

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., 308580250000 + 3628978081 = 555500^2 + 60241^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312209228081 is a prime.

It is a super-2 number, since 2×3122092280812 (a number of 24 digits) contains 22 as substring.

Together with 312209228083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312209228083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156104614040 + 156104614041.

It is an arithmetic number, because the mean of its divisors is an integer number (156104614041).

Almost surely, 2312209228081 is an apocalyptic number.

It is an amenable number.

312209228081 is a deficient number, since it is larger than the sum of its proper divisors (1).

312209228081 is an equidigital number, since it uses as much as digits as its factorization.

312209228081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 312209228081 in words is "three hundred twelve billion, two hundred nine million, two hundred twenty-eight thousand, eighty-one".