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11001300300 = 22325229341719
BaseRepresentation
bin10100011111011101…
…01000010101001100
31001101200212221220200
422033232220111030
5140012313102200
65015352013500
7536423336544
oct121756502514
931350787820
1011001300300
114735a46821
122170391290
131064291463
1476512c324
15445c49800
hex28fba854c

11001300300 has 108 divisors (see below), whose sum is σ = 34601483280. Its totient is φ = 2923597440.

The previous prime is 11001300281. The next prime is 11001300313. The reversal of 11001300300 is 300310011.

11001300300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242841 + ... + 284559.

Almost surely, 211001300300 is an apocalyptic number.

11001300300 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 11001300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17300741640).

11001300300 is an abundant number, since it is smaller than the sum of its proper divisors (23600182980).

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

11001300300 is a wasteful number, since it uses less digits than its factorization.

11001300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42032 (or 42022 counting only the distinct ones).

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

Adding to 11001300300 its reverse (300310011), we get a palindrome (11301610311).

The spelling of 11001300300 in words is "eleven billion, one million, three hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 293 300 450 586 879 900 1172 1465 1758 2637 2930 3516 4395 5274 5860 7325 8790 10548 13185 14650 17580 21975 26370 29300 41719 43950 52740 65925 83438 87900 125157 131850 166876 208595 250314 263700 375471 417190 500628 625785 750942 834380 1042975 1251570 1501884 1877355 2085950 2503140 3128925 3754710 4171900 6257850 7509420 9386775 12223667 12515700 18773550 24447334 36671001 37547100 48894668 61118335 73342002 110013003 122236670 146684004 183355005 220026006 244473340 305591675 366710010 440052012 550065015 611183350 733420020 916775025 1100130030 1222366700 1833550050 2200260060 2750325075 3667100100 5500650150 11001300300