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11083097300 = 225211174871217
BaseRepresentation
bin10100101001001101…
…01010010011010100
31001121101210200022012
422110212222103110
5140144233103200
65031433123352
7541435526012
oct122446522324
931541720265
1011083097300
114778135050
122193859558
131078200752
14771d418b2
1544d005a35
hex2949aa4d4

11083097300 has 144 divisors (see below), whose sum is σ = 27859966848. Its totient is φ = 3782246400.

The previous prime is 11083097299. The next prime is 11083097329. The reversal of 11083097300 is 379038011.

It is a super-2 number, since 2×110830973002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9106292 + ... + 9107508.

It is an arithmetic number, because the mean of its divisors is an integer number (193471992).

Almost surely, 211083097300 is an apocalyptic number.

11083097300 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 11083097300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929983424).

11083097300 is an abundant number, since it is smaller than the sum of its proper divisors (16776869548).

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

11083097300 is a wasteful number, since it uses less digits than its factorization.

11083097300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 11083097300 in words is "eleven billion, eighty-three million, ninety-seven thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 487 550 748 850 935 974 1100 1217 1700 1870 1948 2434 2435 3740 4675 4868 4870 5357 6085 8279 9350 9740 10714 12170 12175 13387 16558 18700 20689 21428 24340 24350 26774 26785 30425 33116 41378 41395 48700 53548 53570 60850 66935 82756 82790 91069 103445 107140 121700 133870 133925 165580 182138 206890 206975 227579 267740 267850 334675 364276 413780 413950 455158 455345 517225 535700 592679 669350 827900 910316 910690 1034450 1137895 1185358 1338700 1821380 2068900 2275790 2276725 2370716 2963395 4551580 4553450 5689475 5926790 6519469 9106900 10075543 11378950 11853580 13038938 14816975 20151086 22757900 26077876 29633950 32597345 40302172 50377715 59267900 65194690 100755430 110830973 130389380 162986725 201510860 221661946 251888575 325973450 443323892 503777150 554154865 651946900 1007554300 1108309730 2216619460 2770774325 5541548650 11083097300