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312231012113 is a prime number
BaseRepresentation
bin1001000101100100110…
…10110010011100010001
31002211220220201211010202
410202302122302130101
520103422114341423
6355234214104545
731362242545646
oct4426232623421
91084826654122
10312231012113
111104642a2779
125061964b155
132359bab8297
141117d6d5dcd
1581c6362728
hex48b26b2711

312231012113 has 2 divisors, whose sum is σ = 312231012114. Its totient is φ = 312231012112.

The previous prime is 312231012101. The next prime is 312231012143. The reversal of 312231012113 is 311210132213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230153346049 + 82077666064 = 479743^2 + 286492^2 .

It is a cyclic number.

It is not a de Polignac number, because 312231012113 - 210 = 312231011089 is a prime.

It is not a weakly prime, because it can be changed into another prime (312231012143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156115506056 + 156115506057.

It is an arithmetic number, because the mean of its divisors is an integer number (156115506057).

Almost surely, 2312231012113 is an apocalyptic number.

It is an amenable number.

312231012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

312231012113 is an equidigital number, since it uses as much as digits as its factorization.

312231012113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312231012113 its reverse (311210132213), we get a palindrome (623441144326).

The spelling of 312231012113 in words is "three hundred twelve billion, two hundred thirty-one million, twelve thousand, one hundred thirteen".