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312041334240221 is a prime number
BaseRepresentation
bin100011011110011001100100…
…0111000011111001111011101
31111220211212020002200122122112
41012330303020320133033131
5311344441123031141341
63023353450542323405
7122504146103652425
oct10674631070371735
91456755202618575
10312041334240221
1190475a94306833
122abb784b589565
13105164aa40cbc1
14570ac49c97485
152611da046baeb
hex11bccc8e1f3dd

312041334240221 has 2 divisors, whose sum is σ = 312041334240222. Its totient is φ = 312041334240220.

The previous prime is 312041334240211. The next prime is 312041334240241. The reversal of 312041334240221 is 122042433140213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311538385202500 + 502949037721 = 17650450^2 + 709189^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312041334240221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312041334240211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156020667120110 + 156020667120111.

It is an arithmetic number, because the mean of its divisors is an integer number (156020667120111).

Almost surely, 2312041334240221 is an apocalyptic number.

It is an amenable number.

312041334240221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312041334240221 is an equidigital number, since it uses as much as digits as its factorization.

312041334240221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 312041334240221 its reverse (122042433140213), we get a palindrome (434083767380434).

The spelling of 312041334240221 in words is "three hundred twelve trillion, forty-one billion, three hundred thirty-four million, two hundred forty thousand, two hundred twenty-one".