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11103003100 = 2252726773347
BaseRepresentation
bin10100101011100101…
…00110000111011100
31001122210020222221001
422111302212013130
5140214332044400
65033423520044
7542066653300
oct122562460734
931583228831
1011103003100
1147883a0622
12219a459024
13107c380027
14774843d00
1544eb38a6a
hex295ca61dc

11103003100 has 108 divisors (see below), whose sum is σ = 28076937336. Its totient is φ = 3799985280.

The previous prime is 11103003089. The next prime is 11103003113. The reversal of 11103003100 is 130030111.

11103003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111030031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 3315627 + ... + 3318973.

It is an arithmetic number, because the mean of its divisors is an integer number (259971642).

Almost surely, 211103003100 is an apocalyptic number.

11103003100 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 11103003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14038468668).

11103003100 is an abundant number, since it is smaller than the sum of its proper divisors (16973934236).

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

11103003100 is a wasteful number, since it uses less digits than its factorization.

11103003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11103003100 its reverse (130030111), we get a palindrome (11233033211).

The spelling of 11103003100 in words is "eleven billion, one hundred three million, three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 677 700 980 1225 1354 2450 2708 3347 3385 4739 4900 6694 6770 9478 13388 13540 16735 16925 18956 23429 23695 33173 33470 33850 46858 47390 66346 66940 67700 83675 93716 94780 117145 118475 132692 164003 165865 167350 234290 236950 328006 331730 334700 468580 473900 585725 656012 663460 820015 829325 1171450 1640030 1658650 2265919 2342900 3280060 3317300 4100075 4531838 8200150 9063676 11329595 15861433 16400300 22659190 31722866 45318380 56647975 63445732 79307165 111030031 113295950 158614330 222060062 226591900 317228660 396535825 444120124 555150155 793071650 1110300310 1586143300 2220600620 2775750775 5551501550 11103003100