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312253523093 is a prime number
BaseRepresentation
bin1001000101100111100…
…00101010010010010101
31002211222111002111101202
410202303300222102111
520103443400214333
6355240340402245
731362635103431
oct4426360522225
91084874074352
10312253523093
11110475a78596
12506250a6385
13235a366a5a5
14111826b59c1
1581c830c5e8
hex48b3c2a495

312253523093 has 2 divisors, whose sum is σ = 312253523094. Its totient is φ = 312253523092.

The previous prime is 312253523081. The next prime is 312253523123. The reversal of 312253523093 is 390325352213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304943615089 + 7309908004 = 552217^2 + 85498^2 .

It is a cyclic number.

It is not a de Polignac number, because 312253523093 - 210 = 312253522069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312253523003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156126761546 + 156126761547.

It is an arithmetic number, because the mean of its divisors is an integer number (156126761547).

Almost surely, 2312253523093 is an apocalyptic number.

It is an amenable number.

312253523093 is a deficient number, since it is larger than the sum of its proper divisors (1).

312253523093 is an equidigital number, since it uses as much as digits as its factorization.

312253523093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145800, while the sum is 38.

The spelling of 312253523093 in words is "three hundred twelve billion, two hundred fifty-three million, five hundred twenty-three thousand, ninety-three".