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312424302321041 is a prime number
BaseRepresentation
bin100011100001001011111001…
…1100011110001110110010001
31111222012110201210200212211212
41013002113303203301312101
5311422224432343233131
63024245424301345505
7122543624313641411
oct10702276343616621
91458173653625755
10312424302321041
1190603447859169
122b059b0a868295
1310543640260451
1457215ba02c641
15261bd16985a2b
hex11c25f38f1d91

312424302321041 has 2 divisors, whose sum is σ = 312424302321042. Its totient is φ = 312424302321040.

The previous prime is 312424302321037. The next prime is 312424302321139. The reversal of 312424302321041 is 140123203424213.

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., 306561439138816 + 5862863182225 = 17508896^2 + 2421335^2 .

It is a cyclic number.

It is not a de Polignac number, because 312424302321041 - 22 = 312424302321037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312424302320989 and 312424302321007.

It is not a weakly prime, because it can be changed into another prime (312424302321641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156212151160520 + 156212151160521.

It is an arithmetic number, because the mean of its divisors is an integer number (156212151160521).

Almost surely, 2312424302321041 is an apocalyptic number.

It is an amenable number.

312424302321041 is a deficient number, since it is larger than the sum of its proper divisors (1).

312424302321041 is an equidigital number, since it uses as much as digits as its factorization.

312424302321041 is an odious number, because the sum of its binary digits is odd.

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

Adding to 312424302321041 its reverse (140123203424213), we get a palindrome (452547505745254).

The spelling of 312424302321041 in words is "three hundred twelve trillion, four hundred twenty-four billion, three hundred two million, three hundred twenty-one thousand, forty-one".