Search a number
-
+
312001313179 is a prime number
BaseRepresentation
bin1001000101001001011…
…10100011100110011011
31002211022220111220102211
410202210232203212123
520102434314010204
6355155330535551
731353453255523
oct4424456434633
91084286456384
10312001313179
11110356675546
12505747375b7
132356333305a
141115adc2683
1581b10dd804
hex48a4ba399b

312001313179 has 2 divisors, whose sum is σ = 312001313180. Its totient is φ = 312001313178.

The previous prime is 312001313111. The next prime is 312001313233. The reversal of 312001313179 is 971313100213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312001313179 - 217 = 312001182107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312001313179.

It is not a weakly prime, because it can be changed into another prime (312001314179) 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, 156000656589 + 156000656590.

It is an arithmetic number, because the mean of its divisors is an integer number (156000656590).

Almost surely, 2312001313179 is an apocalyptic number.

312001313179 is a deficient number, since it is larger than the sum of its proper divisors (1).

312001313179 is an equidigital number, since it uses as much as digits as its factorization.

312001313179 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 31.

The spelling of 312001313179 in words is "three hundred twelve billion, one million, three hundred thirteen thousand, one hundred seventy-nine".