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11003603340 = 2235472611361
BaseRepresentation
bin10100011111101110…
…11010100110001100
31001101212012222002110
422033313122212030
5140013410301330
65015513224020
7536452041132
oct121767324614
931355188073
1011003603340
11473727a064
122171102010
1310648b97c2
1476556b752
15446051db0
hex28fdda98c

11003603340 has 144 divisors (see below), whose sum is σ = 32019138144. Its totient is φ = 2822707200.

The previous prime is 11003603339. The next prime is 11003603383. The reversal of 11003603340 is 4330630011.

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 47 ways as a sum of consecutive naturals, for example, 8084260 + ... + 8085620.

It is an arithmetic number, because the mean of its divisors is an integer number (222355126).

Almost surely, 211003603340 is an apocalyptic number.

11003603340 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 11003603340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16009569072).

11003603340 is an abundant number, since it is smaller than the sum of its proper divisors (21015534804).

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

11003603340 is a wasteful number, since it uses less digits than its factorization.

11003603340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The spelling of 11003603340 in words is "eleven billion, three million, six hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 61 94 122 141 183 188 235 244 282 305 366 470 564 610 705 732 915 940 1220 1361 1410 1830 2209 2722 2820 2867 3660 4083 4418 5444 5734 6627 6805 8166 8601 8836 11045 11468 13254 13610 14335 16332 17202 20415 22090 26508 27220 28670 33135 34404 40830 43005 44180 57340 63967 66270 81660 83021 86010 127934 132540 134749 166042 172020 191901 249063 255868 269498 319835 332084 383802 404247 415105 498126 538996 639670 673745 767604 808494 830210 959505 996252 1245315 1279340 1347490 1616988 1660420 1919010 2021235 2490630 2694980 3006449 3838020 3901987 4042470 4981260 6012898 7803974 8084940 9019347 11705961 12025796 15032245 15607948 18038694 19509935 23411922 30064490 36077388 39019870 45096735 46823844 58529805 60128980 78039740 90193470 117059610 180386940 183393389 234119220 366786778 550180167 733573556 916966945 1100360334 1833933890 2200720668 2750900835 3667867780 5501801670 11003603340