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1005243823 is a prime number
BaseRepresentation
bin111011111010101…
…100110110101111
32121001112200021201
4323322230312233
54024320300243
6243425510331
733624301003
oct7372546657
92531480251
101005243823
11476485621
122407a23a7
13130354c3c
1497714703
155d3ba04d
hex3beacdaf

1005243823 has 2 divisors, whose sum is σ = 1005243824. Its totient is φ = 1005243822.

The previous prime is 1005243817. The next prime is 1005243857. The reversal of 1005243823 is 3283425001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005243823 - 29 = 1005243311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005243791 and 1005243800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005240823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502621911 + 502621912.

It is an arithmetic number, because the mean of its divisors is an integer number (502621912).

Almost surely, 21005243823 is an apocalyptic number.

1005243823 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005243823 is an equidigital number, since it uses as much as digits as its factorization.

1005243823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1005243823 is about 31705.5803132509. The cubic root of 1005243823 is about 1001.7448945721.

Adding to 1005243823 its reverse (3283425001), we get a palindrome (4288668824).

The spelling of 1005243823 in words is "one billion, five million, two hundred forty-three thousand, eight hundred twenty-three".