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312111213361 is a prime number
BaseRepresentation
bin1001000101010110100…
…01110010101100110001
31002211121120022102010221
410202223101302230301
520103200432311421
6355214254253041
731356256353313
oct4425321625461
91084546272127
10312111213361
11110402709142
12505a54b7181
1323580031b4c
141116b82d7b3
1581baa9b841
hex48ab472b31

312111213361 has 2 divisors, whose sum is σ = 312111213362. Its totient is φ = 312111213360.

The previous prime is 312111213353. The next prime is 312111213371. The reversal of 312111213361 is 163312111213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308753590336 + 3357623025 = 555656^2 + 57945^2 .

It is a cyclic number.

It is not a de Polignac number, because 312111213361 - 23 = 312111213353 is a prime.

It is not a weakly prime, because it can be changed into another prime (312111213371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055606680 + 156055606681.

It is an arithmetic number, because the mean of its divisors is an integer number (156055606681).

Almost surely, 2312111213361 is an apocalyptic number.

It is an amenable number.

312111213361 is a deficient number, since it is larger than the sum of its proper divisors (1).

312111213361 is an equidigital number, since it uses as much as digits as its factorization.

312111213361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 25.

Adding to 312111213361 its reverse (163312111213), we get a palindrome (475423324574).

The spelling of 312111213361 in words is "three hundred twelve billion, one hundred eleven million, two hundred thirteen thousand, three hundred sixty-one".