Search a number
-
+
315212303741 is a prime number
BaseRepresentation
bin1001001011001000001…
…11100000110101111101
31010010121200120010102012
410211210013200311331
520131023322204431
6400450113341005
731526153242166
oct4454407406575
91103550503365
10315212303741
11111754145255
125110bb67765
132395564c27a
141138362c76d
1582ece5d22b
hex49641e0d7d

315212303741 has 2 divisors, whose sum is σ = 315212303742. Its totient is φ = 315212303740.

The previous prime is 315212303663. The next prime is 315212303771. The reversal of 315212303741 is 147303212513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302669423716 + 12542880025 = 550154^2 + 111995^2 .

It is a cyclic number.

It is not a de Polignac number, because 315212303741 - 226 = 315145194877 is a prime.

It is a super-3 number, since 3×3152123037413 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315212303698 and 315212303707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (315212303771) 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, 157606151870 + 157606151871.

It is an arithmetic number, because the mean of its divisors is an integer number (157606151871).

Almost surely, 2315212303741 is an apocalyptic number.

It is an amenable number.

315212303741 is a deficient number, since it is larger than the sum of its proper divisors (1).

315212303741 is an equidigital number, since it uses as much as digits as its factorization.

315212303741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 315212303741 in words is "three hundred fifteen billion, two hundred twelve million, three hundred three thousand, seven hundred forty-one".