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312222302113 is a prime number
BaseRepresentation
bin1001000101100011110…
…01100011111110100001
31002211220022100022021011
410202301321203332201
520103412402131423
6355233303300521
731362105531241
oct4426171437641
91084808308234
10312222302113
1111045a393827
125061674a741
132359a058937
141117c4a9b21
1581c56e1b0d
hex48b1e63fa1

312222302113 has 2 divisors, whose sum is σ = 312222302114. Its totient is φ = 312222302112.

The previous prime is 312222302111. The next prime is 312222302131. The reversal of 312222302113 is 311203222213.

Together with next prime (312222302131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178889240209 + 133333061904 = 422953^2 + 365148^2 .

It is a cyclic number.

It is not a de Polignac number, because 312222302113 - 21 = 312222302111 is a prime.

Together with 312222302111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312222302111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156111151056 + 156111151057.

It is an arithmetic number, because the mean of its divisors is an integer number (156111151057).

Almost surely, 2312222302113 is an apocalyptic number.

It is an amenable number.

312222302113 is a deficient number, since it is larger than the sum of its proper divisors (1).

312222302113 is an equidigital number, since it uses as much as digits as its factorization.

312222302113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 312222302113 its reverse (311203222213), we get a palindrome (623425524326).

The spelling of 312222302113 in words is "three hundred twelve billion, two hundred twenty-two million, three hundred two thousand, one hundred thirteen".