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11003001300 = 22325267182471
BaseRepresentation
bin10100011111101010…
…00111100111010100
31001101211002101020200
422033311013213110
5140013232020200
65015452300500
7536443652664
oct121765074724
931354071220
1011003001300
1147369a8805
122170a71730
131064738775
147654521a4
15445e83800
hex28fd479d4

11003001300 has 108 divisors (see below), whose sum is σ = 35003238816. Its totient is φ = 2890324800.

The previous prime is 11003001283. The next prime is 11003001313. The reversal of 11003001300 is 310030011.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 30936 + ... + 151535.

Almost surely, 211003001300 is an apocalyptic number.

11003001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11003001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501619408).

11003001300 is an abundant number, since it is smaller than the sum of its proper divisors (24000237516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11003001300 is a wasteful number, since it uses less digits than its factorization.

11003001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182558 (or 182548 counting only the distinct ones).

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

Adding to 11003001300 its reverse (310030011), we get a palindrome (11313031311).

The spelling of 11003001300 in words is "eleven billion, three million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 67 75 90 100 134 150 180 201 225 268 300 335 402 450 603 670 804 900 1005 1206 1340 1675 2010 2412 3015 3350 4020 5025 6030 6700 10050 12060 15075 20100 30150 60300 182471 364942 547413 729884 912355 1094826 1642239 1824710 2189652 2737065 3284478 3649420 4561775 5474130 6568956 8211195 9123550 10948260 12225557 13685325 16422390 18247100 24451114 27370650 32844780 36676671 41055975 48902228 54741300 61127785 73353342 82111950 110030013 122255570 146706684 164223900 183383355 220060026 244511140 305638925 366766710 440120052 550150065 611277850 733533420 916916775 1100300130 1222555700 1833833550 2200600260 2750750325 3667667100 5501500650 11003001300