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11240103000 = 233537535243
BaseRepresentation
bin10100111011111011…
…00101110001011000
31002000100020101122010
422131331211301120
5141004431244000
65055202225520
7545353204410
oct123575456130
932010211563
1011240103000
114848821825
1222183552a0
1310a18b3329
14788b31640
1545bbbad50
hex29df65c58

11240103000 has 128 divisors (see below), whose sum is σ = 40079070720. Its totient is φ = 2569161600.

The previous prime is 11240102987. The next prime is 11240103001. The reversal of 11240103000 is 30104211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240103001) 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 31 ways as a sum of consecutive naturals, for example, 246622 + ... + 288621.

It is an arithmetic number, because the mean of its divisors is an integer number (313117740).

Almost surely, 211240103000 is an apocalyptic number.

11240103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240103000 is an abundant number, since it is smaller than the sum of its proper divisors (28838967720).

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

11240103000 is a wasteful number, since it uses less digits than its factorization.

11240103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535274 (or 535260 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11240103000 its reverse (30104211), we get a palindrome (11270207211).

The spelling of 11240103000 in words is "eleven billion, two hundred forty million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 535243 1070486 1605729 2140972 2676215 3211458 3746701 4281944 5352430 6422916 7493402 8028645 10704860 11240103 12845832 13381075 14986804 16057290 18733505 21409720 22480206 26762150 29973608 32114580 37467010 40143225 44960412 53524300 56200515 64229160 66905375 74934020 80286450 89920824 93667525 107048600 112401030 133810750 149868040 160572900 187335050 200716125 224802060 267621500 281002575 321145800 374670100 401432250 449604120 468337625 535243000 562005150 749340200 802864500 936675250 1124010300 1405012875 1605729000 1873350500 2248020600 2810025750 3746701000 5620051500 11240103000