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1005240031 is a prime number
BaseRepresentation
bin111011111010101…
…011111011011111
32121001112111002021
4323322223323133
54024320140111
6243425441011
733624253645
oct7372537337
92531474067
101005240031
11476482794
122407a0167
131303532b3
1497713195
155d3b8d71
hex3beabedf

1005240031 has 2 divisors, whose sum is σ = 1005240032. Its totient is φ = 1005240030.

The previous prime is 1005240023. The next prime is 1005240043. The reversal of 1005240031 is 1300425001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005240031 - 23 = 1005240023 is a prime.

It is a super-2 number, since 2×10052400312 = 2021015039849761922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005239987 and 1005240014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005240331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502620015 + 502620016.

It is an arithmetic number, because the mean of its divisors is an integer number (502620016).

Almost surely, 21005240031 is an apocalyptic number.

1005240031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005240031 is an equidigital number, since it uses as much as digits as its factorization.

1005240031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1005240031 is about 31705.5205129958. The cubic root of 1005240031 is about 1001.7436349701.

Adding to 1005240031 its reverse (1300425001), we get a palindrome (2305665032).

The spelling of 1005240031 in words is "one billion, five million, two hundred forty thousand, thirty-one".