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1005233341 = 71710382013
BaseRepresentation
bin111011111010101…
…010010010111101
32121001112010220111
4323322222102331
54024314431331
6243425350021
733624225310
oct7372522275
92531463814
101005233341
11476478762
12240798311
13130350238
1497710977
155d3b6db1
hex3beaa4bd

1005233341 has 16 divisors (see below), whose sum is σ = 1228241664. Its totient is φ = 803061504.

The previous prime is 1005233297. The next prime is 1005233371. The reversal of 1005233341 is 1433325001.

It is not a de Polignac number, because 1005233341 - 213 = 1005225149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005233371) 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 in 15 ways as a sum of consecutive naturals, for example, 28750 + ... + 53263.

It is an arithmetic number, because the mean of its divisors is an integer number (76765104).

Almost surely, 21005233341 is an apocalyptic number.

It is an amenable number.

1005233341 is a deficient number, since it is larger than the sum of its proper divisors (223008323).

1005233341 is a wasteful number, since it uses less digits than its factorization.

1005233341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82140.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1005233341 is about 31705.4150106886. The cubic root of 1005233341 is about 1001.7414127214.

Adding to 1005233341 its reverse (1433325001), we get a palindrome (2438558342).

The spelling of 1005233341 in words is "one billion, five million, two hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 7 17 103 119 721 1751 12257 82013 574091 1394221 8447339 9759547 59131373 143604763 1005233341