Search a number
-
+
1005231319 is a prime number
BaseRepresentation
bin111011111010101…
…001110011010111
32121001112001010121
4323322221303113
54024314400234
6243425332411
733624216361
oct7372516327
92531461117
101005231319
11476477194
12240797107
1313034c341
149770dd31
155d3b64b4
hex3bea9cd7

1005231319 has 2 divisors, whose sum is σ = 1005231320. Its totient is φ = 1005231318.

The previous prime is 1005231299. The next prime is 1005231323. The reversal of 1005231319 is 9131325001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005231319 - 213 = 1005223127 is a prime.

It is a super-2 number, since 2×10052313192 = 2020980009396959522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005231293 and 1005231302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005831319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502615659 + 502615660.

It is an arithmetic number, because the mean of its divisors is an integer number (502615660).

Almost surely, 21005231319 is an apocalyptic number.

1005231319 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005231319 is an equidigital number, since it uses as much as digits as its factorization.

1005231319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 1005231319 is about 31705.3831233751. The cubic root of 1005231319 is about 1001.7407410623.

It can be divided in two parts, 1005 and 231319, that added together give a square (232324 = 4822).

The spelling of 1005231319 in words is "one billion, five million, two hundred thirty-one thousand, three hundred nineteen".