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1002434103 = 331143531481
BaseRepresentation
bin111011101111111…
…110111000110111
32120212020221002000
4323233332320313
54023110342403
6243245350343
733561356256
oct7357767067
92525227060
101002434103
11474936640
1223b8683b3
1312c8b0098
14971c279d
155d0127a3
hex3bbfee37

1002434103 has 64 divisors (see below), whose sum is σ = 1690191360. Its totient is φ = 581817600.

The previous prime is 1002434071. The next prime is 1002434107. The reversal of 1002434103 is 3014342001.

1002434103 is a `hidden beast` number, since 10 + 0 + 243 + 410 + 3 = 666.

It is not a de Polignac number, because 1002434103 - 25 = 1002434071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002434107) 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 in 63 ways as a sum of consecutive naturals, for example, 676123 + ... + 677603.

It is an arithmetic number, because the mean of its divisors is an integer number (26409240).

Almost surely, 21002434103 is an apocalyptic number.

1002434103 is a deficient number, since it is larger than the sum of its proper divisors (687757257).

1002434103 is a wasteful number, since it uses less digits than its factorization.

1002434103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1002434103 is about 31661.2397577859. The cubic root of 1002434103 is about 1000.8107102380.

Adding to 1002434103 its reverse (3014342001), we get a palindrome (4016776104).

The spelling of 1002434103 in words is "one billion, two million, four hundred thirty-four thousand, one hundred three".

Divisors: 1 3 9 11 27 33 43 53 99 129 159 297 387 473 477 583 1161 1419 1431 1481 1749 2279 4257 4443 5247 6837 12771 13329 15741 16291 20511 25069 39987 48873 61533 63683 75207 78493 146619 191049 225621 235479 439857 573147 676863 700513 706437 863423 1719441 2101539 2119311 2590269 3375199 6304617 7770807 10125597 18913851 23312421 30376791 37127189 91130373 111381567 334144701 1002434103