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1005153145 = 5312209189
BaseRepresentation
bin111011111010010…
…110101101111001
32121001101001220021
4323322112231321
54024304400040
6243423530441
733623442433
oct7372265571
92531331807
101005153145
11476423487
12240759a21
13130322899
14976cd653
155d39d24a
hex3be96b79

1005153145 has 12 divisors (see below), whose sum is σ = 1246354020. Its totient is φ = 778179360.

The previous prime is 1005153131. The next prime is 1005153151. The reversal of 1005153145 is 5413515001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 255872016 + 749281129 = 15996^2 + 27373^2 .

It is not a de Polignac number, because 1005153145 - 213 = 1005144953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99790 + ... + 109399.

It is an arithmetic number, because the mean of its divisors is an integer number (103862835).

Almost surely, 21005153145 is an apocalyptic number.

It is an amenable number.

1005153145 is a deficient number, since it is larger than the sum of its proper divisors (241200875).

1005153145 is an equidigital number, since it uses as much as digits as its factorization.

1005153145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209256 (or 209225 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1005153145 is about 31704.1502803655. The cubic root of 1005153145 is about 1001.7147728733.

Adding to 1005153145 its reverse (5413515001), we get a palindrome (6418668146).

The spelling of 1005153145 in words is "one billion, five million, one hundred fifty-three thousand, one hundred forty-five".

Divisors: 1 5 31 155 961 4805 209189 1045945 6484859 32424295 201030629 1005153145