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312023220221 is a prime number
BaseRepresentation
bin1001000101001100000…
…10000111111111111101
31002211101102201220020202
410202212002013333331
520103010421021341
6355201432253245
731354140416456
oct4424602077775
91084342656222
10312023220221
11110367a78639
125057bb41225
1323567a334bb
141115dc8612d
1581b2eb979b
hex48a6087ffd

312023220221 has 2 divisors, whose sum is σ = 312023220222. Its totient is φ = 312023220220.

The previous prime is 312023220211. The next prime is 312023220227. The reversal of 312023220221 is 122022320213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 305858772025 + 6164448196 = 553045^2 + 78514^2 .

It is a cyclic number.

It is not a de Polignac number, because 312023220221 - 234 = 294843351037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312023220193 and 312023220202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312023220227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156011610110 + 156011610111.

It is an arithmetic number, because the mean of its divisors is an integer number (156011610111).

Almost surely, 2312023220221 is an apocalyptic number.

It is an amenable number.

312023220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312023220221 is an equidigital number, since it uses as much as digits as its factorization.

312023220221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312023220221 its reverse (122022320213), we get a palindrome (434045540434).

The spelling of 312023220221 in words is "three hundred twelve billion, twenty-three million, two hundred twenty thousand, two hundred twenty-one".