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312103212101 is a prime number
BaseRepresentation
bin1001000101010101100…
…11010001010001000101
31002211121000020220110222
410202222303101101011
520103141410241401
6355213410554125
731356131350112
oct4425263212105
91084530226428
10312103212101
111103a914372a
12505a2898945
132357b48cc85
141116a749909
1581ba01ac1b
hex48aacd1445

312103212101 has 2 divisors, whose sum is σ = 312103212102. Its totient is φ = 312103212100.

The previous prime is 312103212061. The next prime is 312103212221. The reversal of 312103212101 is 101212301213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257988821476 + 54114390625 = 507926^2 + 232625^2 .

It is a cyclic number.

It is not a de Polignac number, because 312103212101 - 26 = 312103212037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312103212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312103212301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156051606050 + 156051606051.

It is an arithmetic number, because the mean of its divisors is an integer number (156051606051).

Almost surely, 2312103212101 is an apocalyptic number.

It is an amenable number.

312103212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312103212101 is an equidigital number, since it uses as much as digits as its factorization.

312103212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 312103212101 its reverse (101212301213), we get a palindrome (413315513314).

The spelling of 312103212101 in words is "three hundred twelve billion, one hundred three million, two hundred twelve thousand, one hundred one".