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312223001221 is a prime number
BaseRepresentation
bin1001000101100011111…
…00001110101010000101
31002211220100122211021001
410202301330032222011
520103413042014341
6355233330253301
731362114502405
oct4426174165205
91084810584231
10312223001221
1111045a820aaa
1250616a27231
132359a241c01
141117c60c805
1581c57cdd31
hex48b1f0ea85

312223001221 has 2 divisors, whose sum is σ = 312223001222. Its totient is φ = 312223001220.

The previous prime is 312223001197. The next prime is 312223001243. The reversal of 312223001221 is 122100322213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 264705105025 + 47517896196 = 514495^2 + 217986^2 .

It is a cyclic number.

It is not a de Polignac number, because 312223001221 - 211 = 312222999173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312223001821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156111500610 + 156111500611.

It is an arithmetic number, because the mean of its divisors is an integer number (156111500611).

Almost surely, 2312223001221 is an apocalyptic number.

It is an amenable number.

312223001221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312223001221 is an equidigital number, since it uses as much as digits as its factorization.

312223001221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 312223001221 its reverse (122100322213), we get a palindrome (434323323434).

The spelling of 312223001221 in words is "three hundred twelve billion, two hundred twenty-three million, one thousand, two hundred twenty-one".