Search a number
-
+
312322323221 is a prime number
BaseRepresentation
bin1001000101101111101…
…11000111001100010101
31002212011021112220102122
410202313313013030111
520104114003320341
6355251235145325
731364431642046
oct4426767071425
91085137486378
10312322323221
1111050089a0a7
1250644145245
13235b49a8c1c
141118b8a48cd
1581ce39c94b
hex48b7dc7315

312322323221 has 2 divisors, whose sum is σ = 312322323222. Its totient is φ = 312322323220.

The previous prime is 312322323193. The next prime is 312322323223. The reversal of 312322323221 is 122323223213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244519371121 + 67802952100 = 494489^2 + 260390^2 .

It is a cyclic number.

It is not a de Polignac number, because 312322323221 - 210 = 312322322197 is a prime.

Together with 312322323223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312322323223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156161161610 + 156161161611.

It is an arithmetic number, because the mean of its divisors is an integer number (156161161611).

Almost surely, 2312322323221 is an apocalyptic number.

It is an amenable number.

312322323221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312322323221 is an equidigital number, since it uses as much as digits as its factorization.

312322323221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 26.

Adding to 312322323221 its reverse (122323223213), we get a palindrome (434645546434).

The spelling of 312322323221 in words is "three hundred twelve billion, three hundred twenty-two million, three hundred twenty-three thousand, two hundred twenty-one".