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312141130330229 is a prime number
BaseRepresentation
bin100011011111001000000010…
…1001100010111000001110101
31111221012101211001122021222022
41012332100011030113001311
5311403110013331031404
63023511353343042525
7122514311123510234
oct10676200514270165
91457171731567868
10312141130330229
1190504345629282
122b013060ba0445
1310522a228c6735
1457119d5bd8b1b
1526147918288be
hex11be405317075

312141130330229 has 2 divisors, whose sum is σ = 312141130330230. Its totient is φ = 312141130330228.

The previous prime is 312141130330187. The next prime is 312141130330247. The reversal of 312141130330229 is 922033031141213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 290825614032100 + 21315516298129 = 17053610^2 + 4616873^2 .

It is a cyclic number.

It is not a de Polignac number, because 312141130330229 - 248 = 30666153619573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312141130330529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070565165114 + 156070565165115.

It is an arithmetic number, because the mean of its divisors is an integer number (156070565165115).

Almost surely, 2312141130330229 is an apocalyptic number.

It is an amenable number.

312141130330229 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141130330229 is an equidigital number, since it uses as much as digits as its factorization.

312141130330229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 312141130330229 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred thirty million, three hundred thirty thousand, two hundred twenty-nine".