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312223314101 is a prime number
BaseRepresentation
bin1001000101100011111…
…01011011000010110101
31002211220101020201110012
410202301331123002311
520103413132022401
6355233341110005
731362120244526
oct4426175330265
91084811221405
10312223314101
1111045aa15086
1250616b58305
132359a32144a
141117c69084d
1581c58418bb
hex48b1f5b0b5

312223314101 has 2 divisors, whose sum is σ = 312223314102. Its totient is φ = 312223314100.

The previous prime is 312223314097. The next prime is 312223314181. The reversal of 312223314101 is 101413322213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171560811601 + 140662502500 = 414199^2 + 375050^2 .

It is a cyclic number.

It is not a de Polignac number, because 312223314101 - 22 = 312223314097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312223314181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156111657050 + 156111657051.

It is an arithmetic number, because the mean of its divisors is an integer number (156111657051).

Almost surely, 2312223314101 is an apocalyptic number.

It is an amenable number.

312223314101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312223314101 is an equidigital number, since it uses as much as digits as its factorization.

312223314101 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 23.

Adding to 312223314101 its reverse (101413322213), we get a palindrome (413636636314).

The spelling of 312223314101 in words is "three hundred twelve billion, two hundred twenty-three million, three hundred fourteen thousand, one hundred one".