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11001012003 = 346710391951
BaseRepresentation
bin10100011111011011…
…00001111100100011
31001101200100022110000
422033231201330203
5140012224341003
65015341511043
7536421026202
oct121755417443
931350308400
1011001012003
11473586a163
122170272483
1310641c0177
14765095239
15445bde1a3
hex28fb61f23

11001012003 has 40 divisors (see below), whose sum is σ = 16703498240. Its totient is φ = 7213892400.

The previous prime is 11001011993. The next prime is 11001012031. The reversal of 11001012003 is 30021010011.

It is not a de Polignac number, because 11001012003 - 221 = 10998914851 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11001012083) 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 39 ways as a sum of consecutive naturals, for example, 5637678 + ... + 5639628.

It is an arithmetic number, because the mean of its divisors is an integer number (417587456).

Almost surely, 211001012003 is an apocalyptic number.

11001012003 is a deficient number, since it is larger than the sum of its proper divisors (5702486237).

11001012003 is a wasteful number, since it uses less digits than its factorization.

11001012003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11001012003 its reverse (30021010011), we get a palindrome (41022022014).

The spelling of 11001012003 in words is "eleven billion, one million, twelve thousand, three".

Divisors: 1 3 9 27 67 81 201 603 1039 1809 1951 3117 5427 5853 9351 17559 28053 52677 69613 84159 130717 158031 208839 392151 626517 1176453 1879551 2027089 3529359 5638653 6081267 10588077 18243801 54731403 135814963 164194209 407444889 1222334667 3667004001 11001012003