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312113021309 is a prime number
BaseRepresentation
bin1001000101010110110…
…00101100000101111101
31002211121200201021011222
410202223120230011331
520103201413140214
6355214401123125
731356310623305
oct4425330540575
91084550637158
10312113021309
11110403733511
12505a60294a5
1323580515a3b
141116bb80605
1581bad0738e
hex48ab62c17d

312113021309 has 2 divisors, whose sum is σ = 312113021310. Its totient is φ = 312113021308.

The previous prime is 312113021293. The next prime is 312113021357. The reversal of 312113021309 is 903120311213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306414281209 + 5698740100 = 553547^2 + 75490^2 .

It is a cyclic number.

It is not a de Polignac number, because 312113021309 - 24 = 312113021293 is a prime.

It is a super-4 number, since 4×3121130213094 (a number of 47 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312113021369) 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, 156056510654 + 156056510655.

It is an arithmetic number, because the mean of its divisors is an integer number (156056510655).

Almost surely, 2312113021309 is an apocalyptic number.

It is an amenable number.

312113021309 is a deficient number, since it is larger than the sum of its proper divisors (1).

312113021309 is an equidigital number, since it uses as much as digits as its factorization.

312113021309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 312113021309 in words is "three hundred twelve billion, one hundred thirteen million, twenty-one thousand, three hundred nine".