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312051579929 is a prime number
BaseRepresentation
bin1001000101001111011…
…10010011110000011001
31002211110102002201110022
410202213232103300121
520103040201024204
6355204324200225
731354633444025
oct4424756236031
91084412081408
10312051579929
11110381a88711
1250589539075
13235708829ab
1411163949385
1581b571c5be
hex48a7b93c19

312051579929 has 2 divisors, whose sum is σ = 312051579930. Its totient is φ = 312051579928.

The previous prime is 312051579893. The next prime is 312051579989. The reversal of 312051579929 is 929975150213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 293021929225 + 19029650704 = 541315^2 + 137948^2 .

It is an emirp because it is prime and its reverse (929975150213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312051579929 - 28 = 312051579673 is a prime.

It is not a weakly prime, because it can be changed into another prime (312051579989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156025789964 + 156025789965.

It is an arithmetic number, because the mean of its divisors is an integer number (156025789965).

Almost surely, 2312051579929 is an apocalyptic number.

It is an amenable number.

312051579929 is a deficient number, since it is larger than the sum of its proper divisors (1).

312051579929 is an equidigital number, since it uses as much as digits as its factorization.

312051579929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1530900, while the sum is 53.

The spelling of 312051579929 in words is "three hundred twelve billion, fifty-one million, five hundred seventy-nine thousand, nine hundred twenty-nine".